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Woyczynski, Wojbor A.

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 Author ID: woyczynski.wojbor-a Published as: Woyczynski, W. A.; Woyczynski, Wojbor A.; Woyczyński, Wojbor A.; Woyczyński, W. A.; Woyczynski, Wojbor; Woyczyński, Wojbor; Woyczynski, A. Homepage: https://sites.google.com/a/case.edu/waw/ External Links: MGP · Math-Net.Ru · Wikidata · ResearchGate
 Documents Indexed: 162 Publications since 1964, including 19 Books Reviewing Activity: 5 Reviews
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Co-Authors

 39 single-authored 10 Saichev, Alexander I. 9 Biler, Piotr 9 Rosiński, Jan 8 Surgailis, Donatas 7 Leonenko, Nikolai N. 7 Mann, J. Adin jun. 6 Karch, Grzegorz 6 Pittel, Boris G. 5 Funaki, Tadahisa 5 Hu, Yiming 5 Kwapień, Stanisław 5 Szulga, Jerzy 4 Belopol’skaya, Yana Isaevna 4 Jourdain, Benjamin 4 Méléard, Sylvie 3 Denker, Manfred 3 Gurarie, David 3 Jurek, Zbigniew J. 3 Klyatskin, Valery I. 3 Marcus, Michael B. 3 Molchanov, Stanislav Alekseevich 3 Ryll-Nardzewski, Czesław 3 Sundaresan, Kondagunta 3 Szczotka, Władysław 3 Terdik, György H. 2 Chao, Jia-Arng 2 Gunaratnam, Bakeerathan 2 Janicki, A. W. 2 Katona, Gyula O. H. 2 Lerner, Alan J. 2 Rolski, Tomasz 1 Becker, Eric B. 1 Cahoy, Dexter O. 1 Cambanis, Stamatis 1 Ciesielski, Zbigniew 1 Czystolowski, Marek 1 Dehling, Herold G. 1 Fitzmaurice, N. 1 Hass, Zachary 1 Howell, Joseph O. 1 Kaye, Jeffrey 1 Kim, Dongjin 1 Kucharczak, Jerzy 1 Kuelbs, James D. 1 Margolius, Barbara H. 1 McCaughan, F. E. 1 Messer, Jason 1 Meyer, David J. 1 Musial, Kazimierz 1 Parkhomenko, Victoria N. 1 Piryatinska, Alexandra 1 Popova, Ivilina 1 Quéau, Pierre-Yves 1 Reazor, S. 1 Ritchken, Peter H. 1 Singh, Tanya 1 Stanescu, Dan 1 Szász, Domokos 1 Taylor, Robert Lee 1 Thomas, Peter J. 1 Tjatjopoulos, G. J. 1 Uchaĭkin, Vladimir Vasil’evich 1 Urbanik, Kazimierz 1 Weron, Aleksander 1 Weron, Karina 1 Yanosko, Chris 1 Ycart, Bernard 1 Zirbel, Craig L.
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Serials

 11 Probability and Mathematical Statistics 9 Bulletin de l’Académie Polonaise des Sciences, Série des Sciences Mathématiques, Astronomiques et Physiques 6 The Annals of Probability 5 Journal of Statistical Physics 4 Journal of Multivariate Analysis 4 SIAM Journal on Applied Mathematics 4 Applied and Numerical Harmonic Analysis 3 Colloquium Mathematicum 3 Proceedings of the American Mathematical Society 3 Roczniki Polskiego Towarzystwa Matematycznego. Seria II. Wiadomości Matematyczne 3 The Annals of Applied Probability 3 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 3 Lecture Notes in Mathematics 3 Wiadomości Matematyczne 2 Studia Mathematica 2 Zastosowania Matematyki 2 Demonstratio Mathematica 2 Journal of Statistical Planning and Inference 2 Pacific Journal of Mathematics 2 Transactions of the American Mathematical Society 2 Stochastics and Dynamics 2 The IMA Volumes in Mathematics and its Applications 2 Mathematica Applicanda 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Physica A 1 The Mathematical Intelligencer 1 Theory of Probability and its Applications 1 Annales de l’Institut Fourier 1 Dissertationes Mathematicae 1 Journal of Applied Probability 1 Journal of Differential Equations 1 Networks 1 Publicationes Mathematicae 1 Acta Applicandae Mathematicae 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Communications in Statistics. Stochastic Models 1 Stochastic Processes and their Applications 1 Potential Analysis 1 Journal of Mathematical Sciences (New York) 1 PU.M.A. Pure Mathematics and Applications 1 Random Operators and Stochastic Equations 1 Journal of Computational Neuroscience 1 Bernoulli 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Theory of Stochastic Processes 1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 Pure and Applied Mathematics, Marcel Dekker 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Nederlandse Akademie van Wetenschappen. Proceedings. Series A. Indagationes Mathematicae 1 Progress in Nonlinear Differential Equations and Their Applications 1 Modern Birkhäuser Classics 1 Probability and its Applications 1 Statistics for Industry and Technology, and Engineering
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Fields

 110 Probability theory and stochastic processes (60-XX) 43 Partial differential equations (35-XX) 20 Functional analysis (46-XX) 15 Statistics (62-XX) 15 Fluid mechanics (76-XX) 13 Statistical mechanics, structure of matter (82-XX) 10 History and biography (01-XX) 7 General and overarching topics; collections (00-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Numerical analysis (65-XX) 5 Real functions (26-XX) 5 Measure and integration (28-XX) 4 Information and communication theory, circuits (94-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Integral equations (45-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Biology and other natural sciences (92-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Sequences, series, summability (40-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 Relativity and gravitational theory (83-XX)

Citations contained in zbMATH Open

106 Publications have been cited 1,058 times in 710 Documents Cited by Year
Random series and stochastic integrals: single and multiple. Zbl 0751.60035
Kwapień, Stanisław; Woyczyński, Wojbor A.
1992
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1998
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
2001
On Itô stochastic integration with respect to p-stable motion: Inner clock, integrability of sample paths, double and multiple integrals. Zbl 0594.60056
Rosiński, J.; Woyczyński, W. A.
1986
Burgers-KPZ turbulence. Göttingen lectures. Zbl 0919.60004
Woyczyński, Wojbor A.
1998
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035
Biler, Piotr; Woyczynski, Wojbor A.
1999
Lévy processes in the physical sciences. Zbl 0982.60043
Woyczyński, Wojbor A.
2001
Nonlinear SDEs driven by Lévy processes and related PDEs. Zbl 1162.60327
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2008
Parameter estimation for fractional Poisson processes. Zbl 1205.62118
Cahoy, Dexter O.; Uchaikin, Vladimir V.; Woyczynski, Wojbor A.
2010
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
2001
On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence. Zbl 0502.60006
Woyczynski, Wojbor A.
1980
Growing fractal interfaces in the presence of self-similar hopping surface diffusion. Zbl 0972.82078
Mann, J. A. jun.; Woyczynski, W. A.
2001
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.
1999
Hyperbolic asymptotics in Burgers’ turbulence and extremal processes. Zbl 0818.60046
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A.
1995
Stable measures and central limit theorems in spaces of stable type. Zbl 0449.60003
Marcus, Michael B.; Woyczynski, Wojbor A.
1979
Scaling limits of solutions of the heat equation for singular non-Gaussian data. Zbl 0926.60054
Leonenko, Nikolai N.; Woyczynski, Wojbor A.
1998
Exact parabolic asymptotics for singular $$n$$-D Burgers’ random fields: Gaussian approximation. Zbl 0928.35214
Leonenko, N. N.; Woyczynski, W. A.
1998
Multifractal and Lévy conservation laws. Zbl 0945.35015
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
2000
Gibbs-Cox random fields and Burgers turbulence. Zbl 0838.60016
Funaki, T.; Surgailis, D.; Woyczynski, W. A.
1995
Fractal Hamilton-Jacobi-KPZ equations. Zbl 1136.35012
Karch, Grzegorz; Woyczyński, Wojbor A.
2008
Double stochastic integrals, random quadratic forms and random series in Orlicz spaces. Zbl 0622.60054
Kwapien, Stanislaw; Woyczynski, Wojbor A.
1987
The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in $$\mathbb{R}^d$$. Zbl 0895.60066
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A.
1997
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1999
Probabilistic approximation and inviscid limits for one-dimensional fractional conservation laws. Zbl 1122.60063
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2005
Convergence of quadratic forms in p-stable random variables and $$\theta _ p$$-radonifying operators. Zbl 0575.60018
Cambanis, Stamatis; Rosinski, Jan; Woyczynski, Wojbor A.
1985
Distributions in the physical and engineering sciences. Vol. 1: Distributional and fractal calculus, integral transforms and wavelets. Zbl 0880.46028
Saichev, A. I.; Woyczyński, W. A.
1997
Geometry and martingales in Banach spaces. Zbl 0353.60044
Woyczynski, W. A.
1975
A probabilistic approach for nonlinear equations involving the fractional Laplacian and a singular operator. Zbl 1069.60056
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2005
Lévy flights in evolutionary ecology. Zbl 1311.92136
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2012
Tangent sequences of random variables: Basic inequalities and their applications. Zbl 0693.60033
Kwapien, S.; Woyczynski, W. A.
1989
Random tree-type partitions as a model for acyclic polymerization: Holtsmark (3/2-stable) distribution of the supercritical gel. Zbl 0743.60110
Pittel, B.; Woyczynski, W. A.; Mann, J. A.
1990
Resampling $$U$$-statistics using $$p$$-stable laws. Zbl 0770.60039
Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A.
1990
Generalized solutions of nonlinear parabolic equations and diffusion processes. Zbl 1131.60053
Belopolskaya, Ya.; Woyczynski, W. A.
2007
Parameter identification for singular random fields arising in Burgers’ turbulence. Zbl 0986.62077
Leonenko, Nikolai N.; Woyczynski, Wojbor A.
1999
A graph-valued Markov process as rings-allowed polymerization model: Subcritical behavior. Zbl 0743.60112
Pittel, B.; Woyczynski, W. A.
1990
Parameter identification for stochastic Burgers’ flows via parabolic rescaling. Zbl 1075.62627
Leonenko, Nikolai N.; Woyczynski, Wojbor A.
2001
Semimartingale integrals via decoupling inequalities and tangent processes. Zbl 0778.60041
Kwapień, Stanisław; Woyczyński, Wojbor A.
1991
Generalized solutions of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes. Zbl 1250.35065
Belopolskaya, Yana; Woyczynski, Wojbor A.
2012
Rosiński measures for tempered stable and related Ornstein-Uhlenbeck processes. Zbl 1134.60014
Terdik, György; Woyczyński, Wojbor A.
2006
Burgers’ equation with non-local shot noise data. Zbl 0804.60049
Surgailis, Donatas; Woyczynski, Wojbor A.
1994
Evolution of Burgers’ turbulence in the presence of external forces. Zbl 0890.76032
Saichev, A. I.; Woyczynski, W. A.
1997
Probability distributions of passive tracers in randomly moving media. Zbl 0867.60027
Saichev, A. I.; Woyczynski, W. A.
1997
Multilinear forms in Pareto-like random variables and product random measures. Zbl 0644.60016
Rosiński, Jan; Woyczyński, Wojbor A.
1987
Random series and laws of large numbers in some Banach spaces. Zbl 0324.60041
Woyczynski, W. A.
1973
Moment inequalities for real and vector p-stable stochastic integrals. Zbl 0594.60057
Rosiński, J.; Woyczyński, W. A.
1985
Convergence of submartingales in Banach lattices. Zbl 0402.60008
Szulga, Jerzy; Woyczynski, Wojbor A.
1976
Spectral properties of the scaling limit solutions of the Burgers’ equation with singular data. Zbl 0866.35147
Leonenko, N. N.; Parkhomenko, V. N.; Woyczynski, W. A.
1996
Scaling limits of solutions of Burgers’ equation with singular Gaussian initial data. Zbl 0849.35122
Surgailis, Donatas; Woyczyński, Wojbor A.
1994
Distributions of suprema of Lévy processes via the heavy traffic invariance principle. Zbl 1048.60038
Szczotka, W.; Woyczyński, W. A.
2003
Numerical study of interacting particles approximation for integro-differential equations. Zbl 1070.65004
Stanescu, Dan; Kim, Dongjin; Woyczynski, Wojbor A.
2005
Hausdorff dimension of regular points in stochastic Burgers flows with Lévy $$\alpha$$-stable initial data. Zbl 0952.35504
Janicki, A. W.; Woyczynski, W. A.
1997
A central limit theorem for martingales in Banach spaces. Zbl 0346.60017
Woyczynski, W. A.
1975
Strong laws of large numbers in certain linear spaces. Zbl 0275.60039
Woyczynski, Wojbor A.
1974
An extremal rearrangement property of statistical solutions of Burgers’ equation. Zbl 0805.60053
Hu, Yiming; Woyczyński, W. A.
1994
Stability of quadratic forms in independent random variables in Banach spaces. Zbl 0459.60004
Szulga, J.; Woyczynski, W. A.
1981
Stability of linear forms in independent random variables in Banach spaces. Zbl 0463.60008
Howell, J.; Taylor, R. L.; Woyczynski, W. A.
1981
Option pricing bounds in an $$\alpha$$-stable security market. Zbl 0888.90017
Janicki, A. W.; Popova, I.; Ritchken, P. H.; Woyczynski, W. A.
1997
Nonlocal quadratic evolution problems. Zbl 0953.35070
Biler, Piotr; Woyczyński, Wojbor A.
2000
Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Zbl 0912.62001
Denker, Manfred; Woyczyński, Wojbor A.
1998
Limit behavior of quadratic forms of moving averages and statistical solutions of the Burgers’ equation. Zbl 0817.60030
Hu, Yiming; Woyczynski, W. A.
1995
Heavy-tailed dependent queues in heavy traffic. Zbl 1063.60140
2004
Positive-coefficient elements of Hardy-Orlicz spaces. Zbl 0196.13803
Woyczynski, W. A.
1970
Bounded multiplier convergence in measure of random vector series. Zbl 0328.46035
Ryll-Nardzewski, Czeslaw; Woyczynski, W. A.
1975
Asymptotic behavior of martingales in Banach spaces. Zbl 0379.60045
Woyczynski, W. A.
1976
Relaxation functions in dipolar materials. Zbl 1102.60323
Weron, A.; Weron, K.; Woyczynski, W. A.
1995
Convergence presque sure des séries aléatoires vectorielles à multiplicateurs bornes. Zbl 0288.40001
Musial, Kazimierz; Ryll-Nardzewski, Czeslaw; Woyczynski, Wojbor A.
1974
Diffusing passive tracers in random incrompressible flows: statistical topography aspects. Zbl 1260.76031
Klyatskin, V. I.; Woyczynski, W. A.; Gurarie, D.
1996
Stochastic Burgers’ flows. Zbl 0803.76067
Woyczyński, W. A.
1993
Long range prediction and scaling limit for statistical solutions of the Burgers’ equation. Zbl 0806.35164
Surgailis, D.; Woyczyński, W. A.
1993
Tail probabilities of sums of random vectors in Banach spaces, and related mixed norms. Zbl 0436.60007
Woyczynski, Wojbor A.
1980
Asymptotic behavior of martingales in Banach spaces. II. Zbl 0495.60012
Woyczynski, Wojbor A.
1982
Existence of a double random integral with respect to stable measures. Zbl 0508.60045
Szulga, J.; Woyczynski, W. A.
1983
Advection of passive and reactive tracers in multi-dimensional Burgers’ velocity field. Zbl 0890.35122
Saichev, A. I.; Woyczynski, W. A.
1997
Density fields in Burgers and KdV-Burgers turbulence. Zbl 0858.35112
Saichev, A. I.; Woyczynski, W. A.
1996
Limit theorems for the Burgers equation initialized by data with long-range dependence. Zbl 1049.60022
Surgailis, D.; Woyczyński, W. A.
2003
Interacting particle approximation for fractal Burgers equation. Zbl 0931.60087
Funaki, T.; Woyczyński, W. A.
1998
Woyczynski, W. A.
1969
Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations. Zbl 1272.35070
Belopolskaya, Ya. I.; Woyczynski, W. A.
2013
L-orthogonally scattered measures. Zbl 0221.46009
Sundaresan, K.; Woyczynski, W. A.
1972
Ind-additive functionals on random vectors. Zbl 0234.60003
Woyczyński, Wojbor A.
1970
Nonlinear PDE’s driven by Lévy diffusions and related statistical issues. Zbl 1097.35126
Woyczynski, Wojbor A.
2005
Distributions in the physical and engineering sciences. Volume 2: Linear and nonlinear dynamics in continuous media. Zbl 1283.46001
Saichev, Alexander I.; Woyczyński, Wojbor A.
2013
Distributions in the physical and engineering sciences. Volume 3. Random and anomalous fractional dynamics in continuous media. Zbl 1403.46001
Saichev, Alexander I.; Woyczyński, Wojbor A.
2018
Distributions in the physical and engineering sciences. In 3 volumes. Zbl 1398.00009
Saichev, Alexander I.; Woyczynski, Wojbor A.
2019
Seeking Birnbaum. Zbl 0958.01027
Woyczyński, Wojbor A.
1997
A maximum principle for Burgers’ equation with unimodal moving average data. Zbl 0857.35144
Hu, Yiming; Woyczyński, W. A.
1995
Rotation of particles in polarized Brownian flows. Zbl 1023.60055
Zirbel, Craig L.; Woyczyński, Wojbor A.
2002
An interacting particle model of adsorption. Zbl 0736.60097
Ycart, B.; Woyczynski, W. A.; Szulga, J.; Reazor, S.; Mann, J. A. jun.
1990
Random tree-type partitions as a model for acyclic polymerization: Gaussian behaviour of the subcritical sol phase. Zbl 0731.60101
Pittel, Boris; Woyczynski, Wojbor A.; Mann, J. Adin
1990
Distributions in the physical and engineering sciences. Volume 1. Distributional and fractal calculus, integral transforms and wavelets. Reprint of the 1997 edition. Zbl 1397.46031
Saichev, Alexander I.; Woyczyński, Wojbor
2018
Multiscale conservation laws driven by Lévy stable and Linnik diffusions: asymptotics, shock creation, preservation and dissolution. Zbl 1323.82033
Gunaratnam, B.; Woyczyński, W. A.
2015
Explicit representations for multiscale Lévy processes and asymptotics of multifractal conservation laws. Zbl 1326.60064
Górska, K.; Woyczyński, W. A.
2015
Products of random measures, multilinear random forms, and multiple stochastic integrals. Zbl 0547.60056
Rosinski, Jan; Woyczynski, Wojbor A.
1984
Length of sums in a Minkowski space. Zbl 1076.46007
Katona, Gyula O. H.; Mayer, Richard; Woyczynski, Wojbor A.
2004
Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148
Biler, P.; Karch, G.; Woyczyński, W. A.
2001
Nonlinear stochastic PDEs. Hydrodynamic limit and Burgers’ turbulence. Based on the proceedings of a workshop held at IMA, University of Minnesota, MN, USA during the 1993-94 IMA program on emerging applications of probability. Zbl 0832.00040
Funaki, Tadahisa (ed.); Woyczynski, Wojbor A. (ed.)
1996
Large-scale structure of the universe and asymptotics of Burgers’ turbulence with heavy-tailed dependent data. Zbl 0836.60113
Hu, Yiming; Woyczynski, W. A.
1995
Shock density in Burgers’ turbulence. Zbl 0852.35147
Hu, Yiming; Woyczynski, W. A.
1996
Optimization of the reliability polynomial in presence of mediocre elements. Zbl 0774.90032
Katona, G. O. H.; Woyczyński, W. A.
1993
Domaine d’attraction normal dans les espaces de type stable p. Zbl 0368.60025
Marcus, Michael B.; Woyczynski, Wojbor A.
1977
Distributions in the physical and engineering sciences. In 3 volumes. Zbl 1398.00009
Saichev, Alexander I.; Woyczynski, Wojbor A.
2019
Distributions in the physical and engineering sciences. Volume 3. Random and anomalous fractional dynamics in continuous media. Zbl 1403.46001
Saichev, Alexander I.; Woyczyński, Wojbor A.
2018
Distributions in the physical and engineering sciences. Volume 1. Distributional and fractal calculus, integral transforms and wavelets. Reprint of the 1997 edition. Zbl 1397.46031
Saichev, Alexander I.; Woyczyński, Wojbor
2018
Multiscale conservation laws driven by Lévy stable and Linnik diffusions: asymptotics, shock creation, preservation and dissolution. Zbl 1323.82033
Gunaratnam, B.; Woyczyński, W. A.
2015
Explicit representations for multiscale Lévy processes and asymptotics of multifractal conservation laws. Zbl 1326.60064
Górska, K.; Woyczyński, W. A.
2015
Probabilistic approach to viscosity solutions of the Cauchy problems for systems if fully nonlinear parabolic equations. Zbl 1272.35070
Belopolskaya, Ya. I.; Woyczynski, W. A.
2013
Distributions in the physical and engineering sciences. Volume 2: Linear and nonlinear dynamics in continuous media. Zbl 1283.46001
Saichev, Alexander I.; Woyczyński, Wojbor A.
2013
Lévy flights in evolutionary ecology. Zbl 1311.92136
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2012
Generalized solutions of the Cauchy problem for systems of nonlinear parabolic equations and diffusion processes. Zbl 1250.35065
Belopolskaya, Yana; Woyczynski, Wojbor A.
2012
Parameter estimation for fractional Poisson processes. Zbl 1205.62118
Cahoy, Dexter O.; Uchaikin, Vladimir V.; Woyczynski, Wojbor A.
2010
Nonlinear SDEs driven by Lévy processes and related PDEs. Zbl 1162.60327
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2008
Fractal Hamilton-Jacobi-KPZ equations. Zbl 1136.35012
Karch, Grzegorz; Woyczyński, Wojbor A.
2008
Generalized solutions of nonlinear parabolic equations and diffusion processes. Zbl 1131.60053
Belopolskaya, Ya.; Woyczynski, W. A.
2007
Rosiński measures for tempered stable and related Ornstein-Uhlenbeck processes. Zbl 1134.60014
Terdik, György; Woyczyński, Wojbor A.
2006
A first course in statistics for signal analysis. Zbl 1269.62007
Woyczyński, Wojbor A.
2006
Probabilistic approximation and inviscid limits for one-dimensional fractional conservation laws. Zbl 1122.60063
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2005
A probabilistic approach for nonlinear equations involving the fractional Laplacian and a singular operator. Zbl 1069.60056
Jourdain, Benjamin; Méléard, Sylvie; Woyczynski, Wojbor A.
2005
Numerical study of interacting particles approximation for integro-differential equations. Zbl 1070.65004
Stanescu, Dan; Kim, Dongjin; Woyczynski, Wojbor A.
2005
Nonlinear PDE’s driven by Lévy diffusions and related statistical issues. Zbl 1097.35126
Woyczynski, Wojbor A.
2005
Heavy-tailed dependent queues in heavy traffic. Zbl 1063.60140
2004
Length of sums in a Minkowski space. Zbl 1076.46007
Katona, Gyula O. H.; Mayer, Richard; Woyczynski, Wojbor A.
2004
Distributions of suprema of Lévy processes via the heavy traffic invariance principle. Zbl 1048.60038
Szczotka, W.; Woyczyński, W. A.
2003
Limit theorems for the Burgers equation initialized by data with long-range dependence. Zbl 1049.60022
Surgailis, D.; Woyczyński, W. A.
2003
Rotation of particles in polarized Brownian flows. Zbl 1023.60055
Zirbel, Craig L.; Woyczyński, Wojbor A.
2002
Critical nonlinearity exponent and self-similar asymptotics for Lévy conservation laws. Zbl 0991.35009
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
2001
Lévy processes in the physical sciences. Zbl 0982.60043
Woyczyński, Wojbor A.
2001
Asymptotics for conservation laws involving Lévy diffusion generators. Zbl 0990.35023
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
2001
Growing fractal interfaces in the presence of self-similar hopping surface diffusion. Zbl 0972.82078
Mann, J. A. jun.; Woyczynski, W. A.
2001
Parameter identification for stochastic Burgers’ flows via parabolic rescaling. Zbl 1075.62627
Leonenko, Nikolai N.; Woyczynski, Wojbor A.
2001
Asymptotics and high dimensional approximations for nonlinear pseudodifferential equations involving Lévy generators. Zbl 0986.35148
Biler, P.; Karch, G.; Woyczyński, W. A.
2001
Multifractal and Lévy conservation laws. Zbl 0945.35015
Biler, Piotr; Karch, Grzegorz; Woyczyński, Wojbor A.
2000
Nonlocal quadratic evolution problems. Zbl 0953.35070
Biler, Piotr; Woyczyński, Wojbor A.
2000
Global and exploding solutions for nonlocal quadratic evolution problems. Zbl 0940.35035
Biler, Piotr; Woyczynski, Wojbor A.
1999
Asymptotics for multifractal conservation laws. Zbl 0931.35015
Biler, Piotr; Karch, Grzegorz; Woyczynski, Wojbor A.
1999
Interacting particle approximation for nonlocal quadratic evolution problems. Zbl 0985.60091
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1999
Parameter identification for singular random fields arising in Burgers’ turbulence. Zbl 0986.62077
Leonenko, Nikolai N.; Woyczynski, Wojbor A.
1999
Fractal Burgers equations. Zbl 0911.35100
Biler, Piotr; Funaki, Tadahisa; Woyczynski, Wojbor A.
1998
Burgers-KPZ turbulence. Göttingen lectures. Zbl 0919.60004
Woyczyński, Wojbor A.
1998
Scaling limits of solutions of the heat equation for singular non-Gaussian data. Zbl 0926.60054
Leonenko, Nikolai N.; Woyczynski, Wojbor A.
1998
Exact parabolic asymptotics for singular $$n$$-D Burgers’ random fields: Gaussian approximation. Zbl 0928.35214
Leonenko, N. N.; Woyczynski, W. A.
1998
Introductory statistics and random phenomena. Uncertainty, complexity and chaotic behavior in engineering and science. With Mathematica uncertain virtual worlds by Bernard Ycart. Zbl 0912.62001
Denker, Manfred; Woyczyński, Wojbor A.
1998
Interacting particle approximation for fractal Burgers equation. Zbl 0931.60087
Funaki, T.; Woyczyński, W. A.
1998
The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in $$\mathbb{R}^d$$. Zbl 0895.60066
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A.
1997
Distributions in the physical and engineering sciences. Vol. 1: Distributional and fractal calculus, integral transforms and wavelets. Zbl 0880.46028
Saichev, A. I.; Woyczyński, W. A.
1997
Evolution of Burgers’ turbulence in the presence of external forces. Zbl 0890.76032
Saichev, A. I.; Woyczynski, W. A.
1997
Probability distributions of passive tracers in randomly moving media. Zbl 0867.60027
Saichev, A. I.; Woyczynski, W. A.
1997
Hausdorff dimension of regular points in stochastic Burgers flows with Lévy $$\alpha$$-stable initial data. Zbl 0952.35504
Janicki, A. W.; Woyczynski, W. A.
1997
Option pricing bounds in an $$\alpha$$-stable security market. Zbl 0888.90017
Janicki, A. W.; Popova, I.; Ritchken, P. H.; Woyczynski, W. A.
1997
Advection of passive and reactive tracers in multi-dimensional Burgers’ velocity field. Zbl 0890.35122
Saichev, A. I.; Woyczynski, W. A.
1997
Seeking Birnbaum. Zbl 0958.01027
Woyczyński, Wojbor A.
1997
Spectral properties of the scaling limit solutions of the Burgers’ equation with singular data. Zbl 0866.35147
Leonenko, N. N.; Parkhomenko, V. N.; Woyczynski, W. A.
1996
Diffusing passive tracers in random incrompressible flows: statistical topography aspects. Zbl 1260.76031
Klyatskin, V. I.; Woyczynski, W. A.; Gurarie, D.
1996
Density fields in Burgers and KdV-Burgers turbulence. Zbl 0858.35112
Saichev, A. I.; Woyczynski, W. A.
1996
Nonlinear stochastic PDEs. Hydrodynamic limit and Burgers’ turbulence. Based on the proceedings of a workshop held at IMA, University of Minnesota, MN, USA during the 1993-94 IMA program on emerging applications of probability. Zbl 0832.00040
1996
Shock density in Burgers’ turbulence. Zbl 0852.35147
Hu, Yiming; Woyczynski, W. A.
1996
Hyperbolic asymptotics in Burgers’ turbulence and extremal processes. Zbl 0818.60046
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A.
1995
Gibbs-Cox random fields and Burgers turbulence. Zbl 0838.60016
Funaki, T.; Surgailis, D.; Woyczynski, W. A.
1995
Limit behavior of quadratic forms of moving averages and statistical solutions of the Burgers’ equation. Zbl 0817.60030
Hu, Yiming; Woyczynski, W. A.
1995
Relaxation functions in dipolar materials. Zbl 1102.60323
Weron, A.; Weron, K.; Woyczynski, W. A.
1995
A maximum principle for Burgers’ equation with unimodal moving average data. Zbl 0857.35144
Hu, Yiming; Woyczyński, W. A.
1995
Large-scale structure of the universe and asymptotics of Burgers’ turbulence with heavy-tailed dependent data. Zbl 0836.60113
Hu, Yiming; Woyczynski, W. A.
1995
Burgers’ equation with non-local shot noise data. Zbl 0804.60049
Surgailis, Donatas; Woyczynski, Wojbor A.
1994
Scaling limits of solutions of Burgers’ equation with singular Gaussian initial data. Zbl 0849.35122
Surgailis, Donatas; Woyczyński, Wojbor A.
1994
An extremal rearrangement property of statistical solutions of Burgers’ equation. Zbl 0805.60053
Hu, Yiming; Woyczyński, W. A.
1994
Stochastic Burgers’ flows. Zbl 0803.76067
Woyczyński, W. A.
1993
Long range prediction and scaling limit for statistical solutions of the Burgers’ equation. Zbl 0806.35164
Surgailis, D.; Woyczyński, W. A.
1993
Optimization of the reliability polynomial in presence of mediocre elements. Zbl 0774.90032
Katona, G. O. H.; Woyczyński, W. A.
1993
Random series and stochastic integrals: single and multiple. Zbl 0751.60035
Kwapień, Stanisław; Woyczyński, Wojbor A.
1992
Semimartingale integrals via decoupling inequalities and tangent processes. Zbl 0778.60041
Kwapień, Stanisław; Woyczyński, Wojbor A.
1991
Random tree-type partitions as a model for acyclic polymerization: Holtsmark (3/2-stable) distribution of the supercritical gel. Zbl 0743.60110
Pittel, B.; Woyczynski, W. A.; Mann, J. A.
1990
Resampling $$U$$-statistics using $$p$$-stable laws. Zbl 0770.60039
Dehling, Herold; Denker, Manfred; Woyczynski, Wojbor A.
1990
A graph-valued Markov process as rings-allowed polymerization model: Subcritical behavior. Zbl 0743.60112
Pittel, B.; Woyczynski, W. A.
1990
An interacting particle model of adsorption. Zbl 0736.60097
Ycart, B.; Woyczynski, W. A.; Szulga, J.; Reazor, S.; Mann, J. A. jun.
1990
Random tree-type partitions as a model for acyclic polymerization: Gaussian behaviour of the subcritical sol phase. Zbl 0731.60101
Pittel, Boris; Woyczynski, Wojbor A.; Mann, J. Adin
1990
Tangent sequences of random variables: Basic inequalities and their applications. Zbl 0693.60033
Kwapien, S.; Woyczynski, W. A.
1989
Double stochastic integrals, random quadratic forms and random series in Orlicz spaces. Zbl 0622.60054
Kwapien, Stanislaw; Woyczynski, Wojbor A.
1987
Multilinear forms in Pareto-like random variables and product random measures. Zbl 0644.60016
Rosiński, Jan; Woyczyński, Wojbor A.
1987
On Itô stochastic integration with respect to p-stable motion: Inner clock, integrability of sample paths, double and multiple integrals. Zbl 0594.60056
Rosiński, J.; Woyczyński, W. A.
1986
Convergence of quadratic forms in p-stable random variables and $$\theta _ p$$-radonifying operators. Zbl 0575.60018
Cambanis, Stamatis; Rosinski, Jan; Woyczynski, Wojbor A.
1985
Moment inequalities for real and vector p-stable stochastic integrals. Zbl 0594.60057
Rosiński, J.; Woyczyński, W. A.
1985
Products of random measures, multilinear random forms, and multiple stochastic integrals. Zbl 0547.60056
Rosinski, Jan; Woyczynski, Wojbor A.
1984
Existence of a double random integral with respect to stable measures. Zbl 0508.60045
Szulga, J.; Woyczynski, W. A.
1983
Asymptotic behavior of martingales in Banach spaces. II. Zbl 0495.60012
Woyczynski, Wojbor A.
1982
Stability of quadratic forms in independent random variables in Banach spaces. Zbl 0459.60004
Szulga, J.; Woyczynski, W. A.
1981
Stability of linear forms in independent random variables in Banach spaces. Zbl 0463.60008
Howell, J.; Taylor, R. L.; Woyczynski, W. A.
1981
On Marcinkiewicz-Zygmund laws of large numbers in Banach spaces and related rates of convergence. Zbl 0502.60006
Woyczynski, Wojbor A.
1980
Tail probabilities of sums of random vectors in Banach spaces, and related mixed norms. Zbl 0436.60007
Woyczynski, Wojbor A.
1980
Stable measures and central limit theorems in spaces of stable type. Zbl 0449.60003
Marcus, Michael B.; Woyczynski, Wojbor A.
1979
Lacunary series and exponential moments. Zbl 0389.42004
Kuelbs, J.; Woyczynski, W. A.
1978
Domaine d’attraction normal dans les espaces de type stable p. Zbl 0368.60025
Marcus, Michael B.; Woyczynski, Wojbor A.
1977
Weak convergence to a Gaussian measure of martingales in Banach spaces. Zbl 0375.60025
Woyczynski, W. A.
1977
Convergence of submartingales in Banach lattices. Zbl 0402.60008
Szulga, Jerzy; Woyczynski, Wojbor A.
1976
Asymptotic behavior of martingales in Banach spaces. Zbl 0379.60045
Woyczynski, W. A.
1976
Geometry and martingales in Banach spaces. Zbl 0353.60044
Woyczynski, W. A.
1975
A central limit theorem for martingales in Banach spaces. Zbl 0346.60017
Woyczynski, W. A.
1975
Bounded multiplier convergence in measure of random vector series. Zbl 0328.46035
Ryll-Nardzewski, Czeslaw; Woyczynski, W. A.
1975
Probability-Winter School. Proceedings of the 4th winter school on probability, held at Karpacz, Poland, January 1975. Zbl 0305.00011
Ciesielski, Z.; Urbanik, Kazimierz; Woyczynski, W. A.
1975
Strong laws of large numbers in certain linear spaces. Zbl 0275.60039
Woyczynski, Wojbor A.
1974
Convergence presque sure des séries aléatoires vectorielles à multiplicateurs bornes. Zbl 0288.40001
Musial, Kazimierz; Ryll-Nardzewski, Czeslaw; Woyczynski, Wojbor A.
1974
Random series and laws of large numbers in some Banach spaces. Zbl 0324.60041
Woyczynski, W. A.
1973
...and 6 more Documents
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Cited by 936 Authors

 26 Leonenko, Nikolai N. 24 Woyczynski, Wojbor A. 16 Duan, Jinqiao 13 Radchenko, Vadym Mykolaĭovych 13 Samorodnitsky, Gennady Pinkhosovich 11 Karch, Grzegorz 9 Belopol’skaya, Yana Isaevna 9 Mikosch, Thomas 7 Anh, Vo V. 7 Biler, Piotr 7 Rosalsky, Andrew 7 Ruiz-Medina, María Dolores 6 Bodnarchuk, I. M. 6 Cahoy, Dexter O. 6 Djehiche, Boualem 6 Kaikina, Elena Igorevna 6 Li, Xiaofan 6 Szulga, Jerzy 6 Wu, Jianglun 5 Alibaud, Nathaël 5 Gan, Shixin 5 Jakobsen, Espen Robstad 5 Méléard, Sylvie 5 Naumkin, Pavel Ivanovich 5 Norvajsha, R. 5 Pittel, Boris G. 5 Saichev, Alexander I. 5 Surgailis, Donatas 5 Vazquez, Juan Luis 5 Vellaisamy, Palaniappan 5 Wang, Weike 5 Yan, Litan 4 Bao, Jianhai 4 Brzeźniak, Zdzisław 4 Cifani, Simone 4 de la Peña, Victor H. 4 Grabchak, Michael 4 Hayashi, Nakao 4 Hu, Tienchung 4 Imbert, Cyril 4 Jakubowski, Tomasz 4 Jourdain, Benjamin 4 Li, Dong 4 Liu, Gi-Ren 4 Lv, Guangying 4 Marceca, Felipe 4 Polito, Federico 4 Račkauskas, Alfredas Yurgevich 4 Rosiński, Jan 4 Sakhno, Lyudmyla Mykhaĭlivna 4 Shieh, Narn-Rueih 4 Taqqu, Murad S. 4 Tembine, Hamidou 4 Veraar, Mark C. 4 Yuan, Chenggui 4 Zabczyk, Jerzy 4 Zhang, Xicheng 4 Zheng, Xiaoxin 3 Achleitner, Franz 3 Albeverio, Sergio A. 3 Bahlali, Khaled 3 Basse-O’Connor, Andreas 3 Bertozzi, Andrea Louise 3 Blei, Ron C. 3 Carando, Daniel G. 3 Delarue, François 3 Droniou, Jérôme 3 Giné-Masdéu, Evarist 3 Hausenblas, Erika 3 Hitczenko, Paweł 3 Jakubowski, Adam 3 Kataria, Kuldeep Kumar 3 Krupski, Miłosz 3 Kurenok, Vladimir P. 3 Kurths, Jürgen 3 Laurent, Thomas 3 Le Breton, Alain 3 Liu, Zuhan 3 Long, Hongwei 3 McConnell, Terry R. 3 Menozzi, Stéphane 3 Mezerdi, Brahim 3 Molchanov, Stanislav Alekseevich 3 Norvaiša, Rimas 3 Osękowski, Adam 3 Paulauskas, Vygantas Ionovič 3 Rachev, Svetlozar T. 3 Rodrigo, José Luis 3 Shenoy, Prakash P. 3 Shi, KeHua 3 Stefans’ka, N. O. 3 Steland, Ansgar 3 Tarasov, Vasily E. 3 Tudor, Ciprian A. 3 Villa-Morales, José 3 Wang, Yongjin 3 Weis, Lutz W. 3 Yamamoto, Masakazu 3 Zhang, Xinsheng 3 Zheng, Yayun ...and 836 more Authors
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Cited in 212 Serials

 38 Stochastic Processes and their Applications 30 Statistics & Probability Letters 25 Journal of Theoretical Probability 21 Journal of Mathematical Analysis and Applications 21 Journal of Statistical Physics 20 Probability Theory and Related Fields 19 The Annals of Probability 17 Lithuanian Mathematical Journal 14 Stochastic Analysis and Applications 14 Theory of Probability and Mathematical Statistics 12 Journal of Multivariate Analysis 11 Transactions of the American Mathematical Society 10 Journal of Differential Equations 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 The Annals of Applied Probability 9 Bernoulli 8 Computers & Mathematics with Applications 8 Communications in Mathematical Physics 8 Mathematical Methods in the Applied Sciences 8 Advances in Mathematics 8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Stochastics and Dynamics 7 Journal of Functional Analysis 7 Potential Analysis 6 Applied Mathematics and Computation 6 Journal of Applied Probability 6 Proceedings of the American Mathematical Society 6 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 6 Fractional Calculus & Applied Analysis 6 Communications in Nonlinear Science and Numerical Simulation 5 Advances in Applied Probability 5 Journal of Mathematical Physics 5 Nonlinearity 5 Journal of Statistical Planning and Inference 5 Physica D 5 Communications in Partial Differential Equations 5 SIAM Journal on Mathematical Analysis 5 Journal of Mathematical Sciences (New York) 5 Methodology and Computing in Applied Probability 4 Physics Letters. A 4 Applied Mathematics and Optimization 4 Numerische Mathematik 4 Acta Applicandae Mathematicae 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 NoDEA. Nonlinear Differential Equations and Applications 4 Bulletin des Sciences Mathématiques 4 Electronic Journal of Probability 4 Discrete and Continuous Dynamical Systems 4 Chaos 4 Acta Mathematica Sinica. English Series 4 Journal of Evolution Equations 3 Applicable Analysis 3 Journal of Computational Physics 3 Mathematical Notes 3 Mathematics of Computation 3 Chaos, Solitons and Fractals 3 Prikladnaya Matematika i Mekhanika 3 Mathematica Slovaca 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 3 Chinese Annals of Mathematics. Series B 3 Revista Matemática Iberoamericana 3 Mathematical and Computer Modelling 3 Queueing Systems 3 Wuhan University Journal of Natural Sciences (WUJNS) 3 Statistical Inference for Stochastic Processes 3 Statistical Methods and Applications 3 Stochastics 3 Discrete and Continuous Dynamical Systems. Series S 2 Archive for Rational Mechanics and Analysis 2 Israel Journal of Mathematics 2 Journal of Mathematical Biology 2 Ukrainian Mathematical Journal 2 Wave Motion 2 Arkiv för Matematik 2 Annals of the Institute of Statistical Mathematics 2 Automatica 2 Fuzzy Sets and Systems 2 Quarterly of Applied Mathematics 2 Probability and Mathematical Statistics 2 Applied Numerical Mathematics 2 International Journal of Approximate Reasoning 2 Applied Mathematics Letters 2 Science in China. Series A 2 Journal of Applied Mathematics and Stochastic Analysis 2 Communications in Statistics. Theory and Methods 2 Journal of Dynamics and Differential Equations 2 Statistical Papers 2 Nonlinear Dynamics 2 Positivity 2 Extremes 2 Lobachevskii Journal of Mathematics 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series B 2 Frontiers of Mathematics in China 2 Kinetic and Related Models 2 Science China. Mathematics 2 Dynamic Games and Applications 2 Mathematics ...and 112 more Serials
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Cited in 46 Fields

 449 Probability theory and stochastic processes (60-XX) 246 Partial differential equations (35-XX) 80 Statistics (62-XX) 54 Numerical analysis (65-XX) 50 Functional analysis (46-XX) 40 Fluid mechanics (76-XX) 30 Real functions (26-XX) 30 Biology and other natural sciences (92-XX) 28 Operator theory (47-XX) 27 Statistical mechanics, structure of matter (82-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 20 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Systems theory; control (93-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Integral equations (45-XX) 14 Measure and integration (28-XX) 14 Ordinary differential equations (34-XX) 12 Harmonic analysis on Euclidean spaces (42-XX) 10 Combinatorics (05-XX) 9 Operations research, mathematical programming (90-XX) 5 Functions of a complex variable (30-XX) 4 Computer science (68-XX) 3 Difference and functional equations (39-XX) 3 Convex and discrete geometry (52-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Quantum theory (81-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Relativity and gravitational theory (83-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

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