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Potential Analysis

An International Journal devoted to the Interactions between Potential Theory, Probability Theory, Geometry and Functional Analysis

Short Title: Potential Anal.
Publisher: Springer Netherlands, Dordrecht
ISSN: 0926-2601; 1572-929X/e
Online: https://link.springer.com/journal/11118/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 1,566 Publications (since 1992)
References Indexed: 1,236 Publications with 30,603 References.
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Latest Issues

60, No. 2 (2024)
60, No. 1 (2024)
59, No. 4 (2023)
59, No. 3 (2023)
59, No. 2 (2023)
59, No. 1 (2023)
58, No. 4 (2023)
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37, No. 4 (2012)
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36, No. 4 (2012)
36, No. 3 (2012)
36, No. 2 (2012)
36, No. 1 (2012)
35, No. 4 (2011)
35, No. 3 (2011)
...and 139 more Volumes
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Authors

15 van den Berg, Michiel
14 Albeverio, Sergio A.
13 Boboc, Nicu
13 Hansen, Wolfhard
12 Gyöngy, István
12 Kim, Panki
12 Wang, Feng-Yu
12 Zhang, Tusheng S.
11 Beznea, Lucian
11 Röckner, Michael
11 Song, Renming
10 Nualart, David
9 Fuglede, Bent
9 Zorii, Natalia
8 Brzeźniak, Zdzisław
8 Ding, Yong
8 Feyel, Denis
8 Fukushima, Masatoshi
8 Koo, Hyungwoon
8 Privault, Nicolas
8 Ryznar, Michał
7 Bañuelos, Rodrigo
7 Baudoin, Fabrice
7 Bogdan, Krzysztof
7 Choe, Boo Rim
7 Kim, KyeongHun
7 Netuka, Ivan
7 Tindel, Samy
7 Vondraček, Zoran
6 de la Pradelle, Arnaud
6 Gilkey, Peter B.
6 Gordina, Maria
6 Kulczycki, Tadeusz
6 Mâagli, Habib
6 Maz’ya, Vladimir Gilelevich
6 Mizuta, Yoshihiro
6 Saff, Edward Barry
6 Shahgholian, Henrik
6 Takeda, Masayoshi
6 The Anh Bui
6 Yang, Dachun
5 Betancor Perez, Jorge Juan
5 Björn, Anders
5 Björn, Jana
5 Chen, Zhen-Qing
5 El Kadiri, Mohamed
5 Grzywny, Tomasz
5 Hausenblas, Erika
5 Kalaj, David
5 Klimsiak, Tomasz
5 Koskela, Pekka
5 Krylov, Nicolaĭ Vladimirovich
5 Latvala, Visa
5 Luo, Dejun
5 Małecki, Jacek
5 Millet, Annie
5 Nane, Erkan
5 Øksendal, Bernt Karsten
5 Oshima, Yoichi
5 Pavlović, Miroslav
5 Shanmugalingam, Nageswari
5 Singman, David
5 Song, Shiqi
5 Sturm, Karl-Theodor
5 Sun, Wei
5 Wang, Jing
4 Anandam, Victor
4 Arendt, Wolfgang
4 Bendikov, Alexander D.
4 Biroli, Marco
4 Bucur, Gheorghe
4 Byczkowski, Tomasz
4 Cinti, Chiara
4 Decreusefond, Laurent
4 Fariña, Juan Carlos
4 Fitzsimmons, Patrick J.
4 Getoor, Ronald Kay
4 Gorostiza, Luis G.
4 Harboure, Eleonor
4 Hardin, Douglas P.
4 Hirsch, Francis
4 Jakubowski, Tomasz
4 Kilpeläinen, Tero
4 Kondrat’yev, Yuriĭ Grygorovych
4 Lu, Guozhen
4 Martell, José María (Chema)
4 Mikulevicius, Remigijus
4 Peres, Yuval
4 Picardello, Massimo Angelo
4 Polidoro, Sergio
4 Pradolini, Gladis G.
4 Quer-Sardanyons, Lluís
4 Rodríguez-Mesa, Lourdes
4 Rovira, Carles
4 Saloff-Coste, Laurent
4 Skrypnik, Igor Igorievich
4 Tanaka, Hitoshi
4 ter Elst, Antonius Frederik Maria
4 Uemura, Toshihiro
4 Wang, Jian
...and 1,712 more Authors
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Fields

656 Probability theory and stochastic processes (60-XX)
554 Partial differential equations (35-XX)
512 Potential theory (31-XX)
213 Operator theory (47-XX)
174 Functional analysis (46-XX)
158 Global analysis, analysis on manifolds (58-XX)
152 Harmonic analysis on Euclidean spaces (42-XX)
87 Differential geometry (53-XX)
74 Functions of a complex variable (30-XX)
72 Real functions (26-XX)
72 Measure and integration (28-XX)
48 Abstract harmonic analysis (43-XX)
47 Several complex variables and analytic spaces (32-XX)
33 Calculus of variations and optimal control; optimization (49-XX)
32 Combinatorics (05-XX)
30 Topological groups, Lie groups (22-XX)
29 Ordinary differential equations (34-XX)
25 Statistical mechanics, structure of matter (82-XX)
22 Dynamical systems and ergodic theory (37-XX)
22 Quantum theory (81-XX)
21 Numerical analysis (65-XX)
19 Fluid mechanics (76-XX)
18 Integral equations (45-XX)
12 Difference and functional equations (39-XX)
12 Approximations and expansions (41-XX)
10 Special functions (33-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
6 Number theory (11-XX)
6 Group theory and generalizations (20-XX)
6 Geometry (51-XX)
6 General topology (54-XX)
6 Mechanics of particles and systems (70-XX)
6 Information and communication theory, circuits (94-XX)
5 Integral transforms, operational calculus (44-XX)
5 Convex and discrete geometry (52-XX)
4 Mechanics of deformable solids (74-XX)
4 Optics, electromagnetic theory (78-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Statistics (62-XX)
3 Biology and other natural sciences (92-XX)
3 Systems theory; control (93-XX)
2 General and overarching topics; collections (00-XX)
2 Mathematical logic and foundations (03-XX)
2 Sequences, series, summability (40-XX)
2 Manifolds and cell complexes (57-XX)
1 History and biography (01-XX)
1 Commutative algebra (13-XX)
1 Algebraic topology (55-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)
1 Geophysics (86-XX)

Publications by Year

Citations contained in zbMATH Open

1,237 Publications have been cited 12,226 times in 9,319 Documents Cited by Year
Stochastic analysis of the fractional Brownian motion. Zbl 0924.60034
Decreusefond, Laurent; Üstünel, Ali Süleyman
331
1999
Sobolev spaces on an arbitrary metric space. Zbl 0859.46022
Hajłasz, Piotr
270
1996
Function spaces and capacity related to a sublinear expectation: application to \(G\)-Brownian motion paths. Zbl 1225.60057
Denis, Laurent; Hu, Mingshang; Peng, Shige
255
2011
On a spectral analysis for the Sierpiński gasket. Zbl 1081.31501
Fukushima, M.; Shima, T.
146
1992
Harnack inequalities for jump processes. Zbl 0997.60089
Bass, Richard F.; Levin, David A.
119
2002
Perturbation of Dirichlet forms by measures. Zbl 0861.31004
Stollmann, Peter; Voigt, Jürgen
116
1996
Orlicz-Morrey spaces and fractional operators. Zbl 1242.42017
Sawano, Yoshihiro; Sugano, Satoko; Tanaka, Hitoshi
92
2012
Estimates of Green function for relativistic \(\alpha\)-stable process. Zbl 1004.60047
Ryznar, Michał
91
2002
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. II. Zbl 0944.60074
Gyöngy, István
86
1999
Stochastic evolution equations of jump type: Existence, uniqueness and large deviation principles. Zbl 1119.60057
Röckner, Michael; Zhang, Tusheng
82
2007
The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values. Zbl 1120.46016
Harjulehto, Petteri; Hästö, Peter; Koskenoja, Mika; Varonen, Susanna
80
2006
A note on Euler’s approximations. Zbl 0946.60059
Gyöngy, István
78
1998
Stochastic partial differential equations in \(M\)-type 2 Banach spaces. Zbl 0831.35161
Brzeźniak, Zdzisław
77
1995
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion. Zbl 1304.35692
Mielke, A.; Peletier, M. A.; Renger, D. R. M.
75
2014
The fractional relative capacity and the fractional Laplacian with Neumann and Robin boundary conditions on open sets. Zbl 1307.31022
Warma, Mahamadi
74
2015
Parabolic capacity and soft measures for nonlinear equations. Zbl 1017.35040
Droniou, Jérôme; Porretta, Alessio; Prignet, Alain
72
2003
Approximation for semilinear stochastic evolution equations. Zbl 1015.60053
Hausenblas, Erika
67
2003
Singular integral operators, Morrey spaces and fine regularity of solutions to PDEs. Zbl 1036.35045
Palagachev, Dian K.; Softova, Lubomira G.
64
2004
Young integrals and SPDEs. Zbl 1103.60062
Gubinelli, Massimiliano; Lejay, Antoine; Tindel, Samy
61
2006
Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1171.42003
Burenkov, Victor I.; Guliyev, Vagif S.
58
2009
Parabolic Harnack inequality for divergence form second order differential operators. Zbl 0840.31006
Saloff-Coste, L.
57
1995
Sobolev spaces with zero boundary values on metric spaces. Zbl 0962.46021
Kilpeläinen, Tero; Kinnunen, Juha; Martio, Olli
57
2000
Lattice approximations for stochastic quasi-linear parabolic partial differential equations driven by space-time white noise. I. Zbl 0915.60069
Gyöngy, István
55
1998
The Laplacian with Robin boundary conditions on arbitrary domains. Zbl 1028.31004
Arendt, Wolfgang; Warma, Mahamadi
54
2003
Parabolic equations with measurable coefficients. Zbl 1124.35024
Kim, Doyoon; Krylov, N. V.
53
2007
Finite element methods for parabolic stochastic PDE’s. Zbl 1065.60082
Walsh, J. B.
53
2005
Strong spherical asymptotics for rotor-router aggregation and the divisible sandpile. Zbl 1165.82309
Levine, Lionel; Peres, Yuval
53
2009
Boundedness of the Riesz potential in local Morrey-type spaces. Zbl 1223.42008
Burenkov, Victor I.; Gogatishvili, Amiran; Guliyev, Vagif S.; Mustafayev, Rza Ch.
52
2011
On Harnack inequality and Hölder regularity for isotropic unimodal Lévy processes. Zbl 1302.60109
Grzywny, Tomasz
52
2014
Convolution-type derivatives, hitting-times of subordinators and time-changed \(C_0\)-semigroups. Zbl 1315.60050
Toaldo, Bruno
52
2015
On fractional Brownian processes. Zbl 0944.60045
Feyel, Denis; de La Pradelle, Arnaud
51
1999
Fractional Brownian sheet. (Drap brownien fractionnaire.) Zbl 1006.60029
Ayache, Antoine; Leger, Stéphanie; Pontier, Monique
49
2002
Boundary Harnack principle for \(p\)-harmonic functions in smooth Euclidean domains. Zbl 1121.35060
Aikawa, Hiroaki; Kilpeläinen, Tero; Shanmugalingam, Nageswari; Zhong, Xiao
47
2007
Stochastic Navier-Stokes equations driven by Lévy noise in unbounded 3D domains. Zbl 1282.35282
Motyl, Elżbieta
47
2013
Nonlinear elliptic equations with measure data. Zbl 0815.35023
Del Vecchio, T.
46
1995
Chernoff’s theorem and discrete time approximations of Brownian motion on manifolds. Zbl 1107.58014
Smolyanov, Oleg G.; von Weizsäcker, Heinrich; Wittich, Olaf
46
2007
On discretization schemes for stochastic evolution equations. Zbl 1067.60049
Gyöngy, István; Millet, Annie
46
2005
The entrance laws of self-similar Markov processes and exponential functionals of Lévy processes. Zbl 1004.60046
Bertoin, Jean; Yor, Marc
44
2002
Multipliers and Morrey spaces. Zbl 1267.42024
Lemarié-Rieusset, Pierre Gilles
42
2013
Higher differentiability of solutions of elliptic systems with Sobolev coefficients: the case \(p=n=2\). Zbl 1315.35048
Passarelli Di Napoli, Antonia
42
2014
On the Cauchy problem for integro-differential operators in Hölder classes and the uniqueness of the martingale problem. Zbl 1296.45009
Mikulevicius, R.; Pragarauskas, H.
41
2014
Malliavin calculus for white noise driven parabolic SPDEs. Zbl 0928.60040
Bally, Vlad; Pardoux, Etienne
40
1998
Integration with respect to local time. Zbl 0964.60062
Eisenbaum, Nathalie
39
2000
Generalized Mehler semigroups: The non-Gaussian case. Zbl 0957.47028
Fuhrman, Marco; Röckner, Michael
39
2000
Green function estimates and Harnack inequality for subordinate Brownian motions. Zbl 1107.60042
Rao, Murali; Song, Renming; Vondraček, Zoran
37
2006
Parabolic equations and Markov processes over \(p\)-adic fields. Zbl 1134.35005
Zúñiga-Galindo, W. A.
37
2008
On nonlinear Rayleigh quotients. Zbl 0795.35039
Lindqvist, Peter
37
1993
Non-coercive linear elliptic problems. Zbl 1161.35362
Droniou, Jérôme
37
2002
Invariant measures and symmetry property of Lévy type operators. Zbl 0978.60096
Albeverio, Sergio; Rüdiger, Barbara; Wu, Jiang-Lun
37
2000
Pathwise numerical approximations of SPDEs with additive noise under non-global Lipschitz coefficients. Zbl 1176.60051
Jentzen, Arnulf
37
2009
Fractional differentiability for solutions of nonlinear elliptic equations. Zbl 1362.35064
Baisón, A. L.; Clop, A.; Giova, R.; Orobitg, J.; Passarelli di Napoli, A.
37
2017
On a dual pair of spaces of smooth and generalized random variables. Zbl 0839.46035
Potthoff, Jürgen; Timpel, Matthias
36
1995
Existence and smoothness of the density for spatially homogeneous SPDEs. Zbl 1133.60029
Nualart, David; Quer-Sardanyons, Lluís
36
2007
White noise driven SPDEs with reflection: Strong Feller properties and Harnack inequalities. Zbl 1196.60121
Zhang, Tusheng
36
2010
Compact differences of composition operators on the Bergman spaces over the ball. Zbl 1281.47012
Choe, Boo Rim; Koo, Hyungwoon; Park, Inyoung
36
2014
Rate of convergence of space time approximations for stochastic evolution equations. Zbl 1168.60025
Gyöngy, István; Millet, Annie
36
2009
Heat kernel bounds on metric measure spaces and some applications. Zbl 1339.53043
Jiang, Renjin; Li, Huaiqian; Zhang, Huichun
36
2016
Higher-order Riesz operators for the Ornstein-Uhlenbeck semigroup. Zbl 0954.42010
García-Cuerva, José; Mauceri, Giancarlo; Sjögren, Peter; Torrea, José-Luis
35
1999
Estimates of the Green function for the fractional Laplacian perturbed by gradient. Zbl 1238.35018
Bogdan, Krzysztof; Jakubowski, Tomasz
35
2012
Invariance of closed convex sets and domination criteria for semigroups. Zbl 0868.47029
Ouhabaz, El-Maati
35
1996
Nonlinear Neumann-transmission problems for Stokes and Brinkman equations on Euclidean Lipschitz domains. Zbl 1269.47053
Kohr, Mirela; Lanza de Cristoforis, Massimo; Wendland, Wolfgang L.
35
2013
Moser-type inequalities in Lorentz spaces. Zbl 0856.46020
Alvino, Angelo; Ferone, Vincenzo; Trombetti, Guido
34
1996
Harmonic calculus on fractals – a measure geometric approach. I. Zbl 1055.28002
Freiberg, U.; Zähle, M.
34
2002
Group cohomology, harmonic functions and the first \(L^ 2\)-Betti number. Zbl 0882.22013
Bekka, Mohammed E. B.; Valette, Alain
34
1997
On the small time asymptotics of diffusion processes on path groups. Zbl 0993.60026
Aida, Shigeki; Zhang, Tusheng
33
2002
Adams’ inequality and limiting Sobolev embeddings into Zygmund spaces. Zbl 1279.46025
Tarsi, Cristina
33
2012
Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients. Zbl 1023.35041
Liskevich, Vitali; Sobol, Zeev
32
2003
Approximation of the invariant measure with an Euler scheme for stochastic PDEs driven by space-time white noise. Zbl 1286.35010
Bréhier, Charles-Edouard
32
2014
Continuity of solutions of a class of fractional equations. Zbl 1407.35205
Dang, Duc Trong; Nane, Erkan; Nguyen, Dang Minh; Tuan, Nguyen Huy
32
2018
Global regularity in generalized Morrey spaces of solutions to nondivergence elliptic equations with VMO coefficients. Zbl 1271.42020
Guliyev, Vagif S.; Softova, Lubomira G.
32
2013
On the stochastic Strichartz estimates and the stochastic nonlinear Schrödinger equation on a compact Riemannian manifold. Zbl 1304.58019
Brzeźniak, Z.; Millet, A.
32
2014
Linear combinations of composition operators on the Fock-Sobolev spaces. Zbl 1300.47031
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
32
2014
On the quasi-regularity of semi-Dirichlet forms. Zbl 0993.60075
Fitzsimmons, P. J.
31
2001
Regularity of Ornstein-Uhlenbeck processes driven by a Lévy white noise. Zbl 1187.60048
Brzeźniak, Zdzisław; Zabczyk, Jerzy
31
2010
Compactness of commutators of Riesz potential on Morrey spaces. Zbl 1163.42004
Chen, Yanping; Ding, Yong; Wang, Xinxia
31
2009
Moderate deviations for stochastic reaction-diffusion equations with multiplicative noise. Zbl 1306.60095
Wang, Ran; Zhang, Tusheng
31
2015
Hölder regularity for solutions of ultraparabolic equations in divergence form. Zbl 0980.35081
Polidoro, Sergio; Ragusa, Maria Alessandra
30
2001
Weighted \(L^p\)-estimates for elliptic equations with measurable coefficients in nonsmooth domains. Zbl 1293.35351
Byun, Sun-Sig; Palagachev, Dian K.
30
2014
Sobolev inequalities on homogeneous spaces. Zbl 0833.46020
Biroli, Marco; Mosco, Umberto
29
1995
Diffusion equations and geometric inequalities. Zbl 0976.60065
Borell, Christer
29
2000
Stochastic reaction-diffusion equations driven by jump processes. Zbl 1398.60077
Brzeźniak, Zdzisław; Hausenblas, Erika; Razafimandimby, Paul André
29
2018
Boundedness of singular integrals on multiparameter weighted Hardy spaces \(H^p_w(\mathbb R^n \times \mathbb R^m)\). Zbl 1271.42017
Ding, Yong; Han, Yongsheng; Lu, Guozhen; Wu, Xinfeng
29
2012
Endpoint properties of localized Riesz transforms and fractional integrals associated to Schrödinger operators. Zbl 1172.47018
Yang, Dachun; Yang, Dongyong; Zhou, Yuan
29
2009
Hölder continuous solutions to complex Hessian equations. Zbl 1302.32034
Nguyen, Ngoc Cuong
28
2014
Estimates for the torsion function and Sobolev constants. Zbl 1246.60108
van den Berg, Michiel
27
2012
Smoothness of Brownian local times and related functionals. Zbl 0776.60092
Nualart, D.; Vives, J.
27
1992
Implicit scheme for stochastic parabolic partial differential equations driven by space-time white noise. Zbl 0893.60033
Gyöngy, István; Nualart, David
27
1997
Fractional-parabolic systems. Zbl 1259.35218
Kochubei, Anatoly N.
27
2012
Hausdorff measures on the Wiener space. Zbl 1081.28500
Feyel, D.; de La Pradelle, A.
26
1992
Riesz spherical potentials with external fields and minimal energy points separation. Zbl 1115.31003
Dragnev, P. D.; Saff, E. B.
26
2007
Perturbations of generalized Mehler semigroups and applications to stochastic heat equations with Levy noise and singular drift. Zbl 1052.47033
Lescot, Paul; Röckner, Michael
26
2004
The Brunn-Minkowski inequality for the \(n\)-dimensional logarithmic capacity of convex bodies. Zbl 1074.31007
Colesanti, Andrea; Cuoghi, Paola
26
2005
Erratum to: “Multipliers and Morrey spaces”. Zbl 1302.42031
Lemarié-Rieusset, Pierre Gilles
25
2014
Dirichlet norms, capacities and generalized isoperimetric inequalities for Markov operators. Zbl 1081.31502
Kaimanovich, Vadim A.
24
1992
A Fefferman-Phong type inequality and applications to quasilinear subelliptic equations. Zbl 0940.35057
Danielli, Donatella
24
1999
Nonlinear anisotropic elliptic and parabolic equations in \(\mathbb R^{N}\) with advection and lower order terms and locally integrable data. Zbl 1087.35035
Bendahmane, Mostafa; Karlsen, Kenneth H.
24
2005
Fock-Sobolev spaces of fractional order. Zbl 1327.32009
Cho, Hong Rae; Choe, Boo Rim; Koo, Hyungwoon
24
2015
\(H^1 - L^1\) boundedness of Riesz transforms on Riemannian manifolds and on graphs. Zbl 0982.42008
Russ, Emmanuel
23
2001
Positive Toeplitz operators between the harmonic Bergman spaces. Zbl 1014.47014
Choe, Boo Rim; Koo, Hyungwoon; Yi, Heungsu
23
2002
Martingale solution to equations for differential type fluids of grade two driven by random force of Lévy type. Zbl 1317.60078
Hausenblas, E.; Razafimandimby, P. A.; Sango, M.
23
2013
Compactness characterizations of commutators on ball Banach function spaces. Zbl 07673632
Tao, Jin; Yang, Dachun; Yuan, Wen; Zhang, Yangyang
14
2023
The random normal matrix model: insertion of a point charge. Zbl 1508.82046
Ameur, Yacin; Kang, Nam-Gyu; Seo, Seong-Mi
9
2023
Regularizing properties of (non-Gaussian) transition semigroups in Hilbert spaces. Zbl 1507.35351
Bignamini, D. A.; Ferrari, S.
4
2023
On potential theory of Markov processes with jump kernels decaying at the boundary. Zbl 1508.60079
Kim, Panki; Song, Renming; Vondraček, Zoran
4
2023
On potentials of Itô’s processes with drift in \(L_{d+1}\). Zbl 07692091
Krylov, N. V.
4
2023
Large and moderate deviation principles for McKean-Vlasov SDEs with jumps. Zbl 1523.60056
Liu, Wei; Song, Yulin; Zhai, Jianliang; Zhang, Tusheng
4
2023
Large deviations and gradient flows for the Brownian one-dimensional hard-rod system. Zbl 1506.60041
Peletier, Mark; Gavish, Nir; Nyquist, Pierre
3
2023
Weighted Hardy-Sobolev, log-Sobolev and Moser-Onofri-Beckner inequalities with monomial weights. Zbl 1507.26029
Wang, Jianxiong
3
2023
Ergodic decomposition of Dirichlet forms via direct integrals and applications. Zbl 1512.37010
Dello Schiavo, Lorenzo
3
2023
Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups. Zbl 1507.58005
Lauret, Emilio A.
2
2023
Uniform large deviations for a class of Burgers-type stochastic partial differential equations in any space dimension. Zbl 1506.60042
Salins, Michael; Setayeshgar, Leila
2
2023
Scattering theory for a class of radial focusing inhomogeneous Hartree equations. Zbl 1512.35549
Saanouni, Tarek; Xu, Chengbin
2
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Universal infinitesimal Hilbertianity of sub-Riemannian manifolds. Zbl 07692094
Le Donne, Enrico; Lučić, Danka; Pasqualetto, Enrico
2
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On diffusion processes with drift in \(L_{d+1}\). Zbl 07749900
Krylov, N. V.
2
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Convergence of \(p\)-energy gorms on homogeneous p.c.f self-similar sets. Zbl 07785428
Gao, Jin; Yu, Zhenyu; Zhang, Junda
1
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Besov reconstruction. Zbl 07785429
Broux, Lucas; Lee, David
1
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Compactness of semigroups generated by symmetric non-local Dirichlet forms with unbounded coefficients. Zbl 1507.60100
Shiozawa, Yuichi; Wang, Jian
1
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Regularity of solutions to Kolmogorov equations with perturbed drifts. Zbl 1512.35193
Bogachev, Vladimir I.; Kosov, Egor D.; Shaposhnikov, Alexander V.
1
2023
An integration by parts formula for functionals of the Dirichlet-ferguson measure, and applications. Zbl 07673634
Flint, Ian; Torrisi, Giovanni Luca
1
2023
Analysis on trees with nondoubling flow measures. Zbl 1511.05039
Levi, Matteo; Santagati, Federico; Tabacco, Anita; Vallarino, Maria
1
2023
Long-time behaviour of entropic interpolations. Zbl 1521.49032
Clerc, Gauthier; Conforti, Giovanni; Gentil, Ivan
1
2023
Nonlinear inequalities with double Riesz potentials. Zbl 1516.45005
Ghergu, Marius; Liu, Zeng; Miyamoto, Yasuhito; Moroz, Vitaly
1
2023
Sharp interface limit of stochastic Cahn-Hilliard equation with singular noise. Zbl 1521.35214
Baňas, Ľubomír; Yang, Huanyu; Zhu, Rongchan
1
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Hydrodynamics of the generalized \(N\)-urn Ehrenfest model. Zbl 07727165
Xue, Xiaofeng
1
2023
On the theory of capacities on locally compact spaces and its interaction with the theory of balayage. Zbl 07749912
Zorii, Natalia
1
2023
Local continuity and Harnack’s inequality for double-phase parabolic equations. Zbl 1481.35047
Buryachenko, Kateryna O.; Skrypnik, Igor I.
9
2022
Quantitative estimates for square functions with new class of weights. Zbl 1509.42021
Bui, The Anh; Bui, The Quan; Duong, Xuan Thinh
5
2022
Coincidence of variable exponent Herz spaces with variable exponent Morrey type spaces and boundedness of sublinear operators in these spaces. Zbl 1494.46028
Rafeiro, Humberto; Samko, Stefan
4
2022
Trace and density results on regular trees. Zbl 1498.46049
Koskela, Pekka; Nguyen, Khanh Ngoc; Wang, Zhuang
4
2022
Harmonic measure, equilibrium measure, and thinness at infinity in the theory of Riesz potentials. Zbl 1503.31017
Zorii, Natalia
4
2022
Chiti-type reverse Hölder inequality and torsional rigidity under integral Ricci curvature condition. Zbl 1483.35051
Chen, Hang
3
2022
From \(A_1\) to \(A_{\infty}\): new mixed inequalities for certain maximal operators. Zbl 1489.42010
Berra, Fabio
3
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On \(L^p\)-boundedness of Fourier integral operators. Zbl 1491.42026
Yang, Jie; Wang, Guangqing; Chen, Wenyi
3
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Unconstrained polarization (Chebyshev) problems: basic properties and Riesz kernel asymptotics. Zbl 1485.31001
Hardin, Douglas P.; Petrache, Mircea; Saff, Edward B.
2
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On the failure of multilinear multiplier theorem with endpoint smoothness conditions. Zbl 1482.42016
Park, Bae Jun
2
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Li-Yau multipLier set and optimal Li-Yau gradient estimate on hyperboLic spaces. Zbl 1483.35059
Yu, Chengjie; Zhao, Feifei
2
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Harnack inequalities for functional SDEs driven by subordinate Brownian motions. Zbl 1490.60151
Deng, Chang-Song; Huang, Xing
2
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Discrete harmonic functions in the three-quarter plane. Zbl 1483.31036
Trotignon, Amélie
2
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On a characterization theorem for locally compact abelian groups containing an element of order 2. Zbl 1482.60006
Feldman, G. M.
2
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Discrete harmonic analysis associated with Jacobi expansions. II: the Riesz transform. Zbl 1504.42083
Arenas, Alberto; Ciaurri, Óscar; Labarga, Edgar
2
2022
Elliptic and parabolic boundary value problems in weighted function spaces. Zbl 1502.35059
Hummel, Felix; Lindemulder, Nick
2
2022
Interior Schauder estimates for elliptic equations associated with Lévy operators. Zbl 1498.60173
Kühn, Franziska
2
2022
Scattering for radial defocusing inhomogeneous bi-harmonic Schrödinger equations. Zbl 1490.35449
Saanouni, Tarek
2
2022
Anisotropic singular Neumann equations with unbalanced growth. Zbl 1492.35130
Papageorgiou, Nikolaos S.; Rădulescu, Vicenţiu D.; Repovš, Dušan D.
2
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Higher order terms of the spectral heat content for killed subordinate and subordinate killed Brownian motions related to symmetric \(\alpha\)-stable processes in \(\mathbb{R}\). Zbl 1495.60038
Park, Hyunchul
2
2022
Generalized superharmonic functions with strongly nonlinear operator. Zbl 1498.35253
Chlebicka, Iwona; Zatorska-Goldstein, Anna
2
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Boundedness of operators related to a degenerate Schrödinger semigroup. Zbl 1497.42030
Harboure, E.; Salinas, O.; Viviani, B.
2
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Desingularization of a steady vortex pair in the lake equation. Zbl 1513.76054
Dekeyser, Justin
1
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A refined Green’s function estimate of the time measurable parabolic operators with conic domains. Zbl 1483.35103
Kim, Kyeong-Hun; Lee, Kijung; Seo, Jinsol
1
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On efficiency and localisation for the torsion function. Zbl 1505.35110
van den Berg, M.; Bucur, D.; Kappeler, T.
1
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Phase transition of logarithmic capacity for the uniform \(G_\delta\)-sets. Zbl 1486.31007
Kleptsyn, Victor; Quintino, Fernando
1
2022
Comparison principle for elliptic equations with mixed singular nonlinearities. Zbl 1491.35161
Durastanti, Riccardo; Oliva, Francescantonio
1
2022
Sobolev-type inequalities on Cartan-Hadamard manifolds and applications to some nonlinear diffusion equations. Zbl 1498.46046
Muratori, Matteo; Roncoroni, Alberto
1
2022
Parabolic Harnack inequality implies the existence of jump kernel. Zbl 1489.60130
Liu, Guanhua; Murugan, Mathav
1
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Stationary solutions of Fokker-Planck equations with nonlinear reaction terms in bounded domains. Zbl 1492.35118
Precup, Radu; Rubbioni, Paola
1
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Strong solutions of stochastic differential equations with coefficients in mixed-norm spaces. Zbl 1500.60032
Ling, Chengcheng; Xie, Longjie
1
2022
Absolute continuity of solutions to reaction-diffusion equations with multiplicative noise. Zbl 1489.60098
Marinelli, Carlo; Quer-Sardanyons, Lluís
1
2022
The Berezin transform of Toeplitz operators on the weighted Bergman space. Zbl 07547836
Tong, Cezhong; Li, Junfeng; Arroussi, Hicham
1
2022
\(C^{1, \alpha}\) regularity for degenerate fully nonlinear elliptic equations with Neumann boundary conditions. Zbl 1498.35252
Banerjee, Agnid; Verma, Ram Baran
1
2022
Quasiconformal harmonic mappings between the unit ball and a spatial domain with \(C^{1, \alpha}\) boundary. Zbl 1502.30072
Gjokaj, Anton; Kalaj, David
1
2022
Quasi-continuous vector fields on RCD spaces. Zbl 1457.53032
Debin, Clément; Gigli, Nicola; Pasqualetto, Enrico
7
2021
Uniqueness of Dirichlet forms related to infinite systems of interacting Brownian motions. Zbl 1480.60227
Kawamoto, Yosuke; Osada, Hirofumi; Tanemura, Hideki
7
2021
Remarks on the nonlocal Dirichlet problem. Zbl 1456.35059
Grzywny, Tomasz; Kassmann, Moritz; Leżaj, Łukasz
6
2021
Strong Feller property for SDEs driven by multiplicative cylindrical stable noise. Zbl 1484.60062
Kulczycki, Tadeusz; Ryznar, Michał; Sztonyk, Paweł
6
2021
Radial two weight inequality for maximal Bergman projection induced by a regular weight. Zbl 1462.30108
Korhonen, Taneli; Peláez, José Ángel; Rättyä, Jouni
5
2021
Riesz potential and maximal function for Dunkl transform. Zbl 1480.42028
Gorbachev, D. V.; Ivanov, V. I.; Tikhonov, S. Yu.
5
2021
Weighted estimates for bilinear Bochner-Riesz means at the critical index. Zbl 1486.42032
Jotsaroop, K.; Shrivastava, Saurabh; Shuin, Kalachand
5
2021
Gradient Estimates in fractional Dirichlet Problems. Zbl 1460.35056
Fall, Mouhamed Moustapha; Jarohs, Sven
4
2021
Smooth orthogonal projections on Riemannian manifold. Zbl 1457.46036
Bownik, Marcin; Dziedziul, Karol; Kamont, Anna
3
2021
Weak limits of the measures of maximal entropy for orthogonal polynomials. Zbl 1460.42042
Petersen, Carsten Lunde; Uhre, Eva
3
2021
Limiting weak-type behaviors for certain classical operators in harmonic analysis. Zbl 1508.42014
Guo, Weichao; He, Jianxun; Wu, Huoxiong
3
2021
An Itô formula for rough partial differential equations and some applications. Zbl 1477.60148
Hocquet, Antoine; Nilssen, Torstein
3
2021
A comparison theorem for nonsmooth nonlinear operators. Zbl 1471.35159
Kozlov, Vladimir; Nazarov, Alexander
3
2021
Sharp Riesz-Fejér inequality for harmonic Hardy spaces. Zbl 1460.31005
Melentijević, Petar; Božin, Vladimir
3
2021
Intrinsic differentiability and intrinsic regular surfaces in Carnot groups. Zbl 1456.35206
Di Donato, Daniela
2
2021
Analyticity of nonsymmetric Ornstein-Uhlenbeck semigroup with respect to a weighted Gaussian measure. Zbl 07303856
Addona, D.
2
2021
Sharp weighted Trudinger-Moser inequalities with the \(L^n\) norm in the entire space \(\mathbb{R}^n\) and existence of their extremal functions. Zbl 1459.35139
Wang, Xumin; Chen, Lu
2
2021
Complex interpolation and the Adams theorem. Zbl 1477.42025
Sawano, Yoshihiro; Sugano, Satoko
2
2021
Regularity theory for second order integro-PDEs. Zbl 1455.35048
Mou, Chenchen; Zhang, Yuming Paul
2
2021
BMO solvability and absolute continuity of caloric measure. Zbl 1460.42025
Genschaw, Alyssa; Hofmann, Steve
2
2021
Capacities, removable sets and \(L^p\)-uniqueness on Wiener spaces. Zbl 1460.31014
Hinz, Michael; Kang, Seunghyun
2
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Resistance forms on self-similar sets with finite ramification of finite type. Zbl 1462.28005
Cao, Shiping; Qiu, Hua
2
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Optimal trapping for Brownian motion: a nonlinear analogue of the torsion function. Zbl 1478.35105
Lu, Jianfeng; Steinerberger, Stefan
2
2021
Leibniz-type rules for bilinear and biparameter Fourier multiplier operators with applications. Zbl 1471.42028
Yang, Jiexing; Liu, Zongguang; Wu, Xinfeng
2
2021
The subelliptic heat kernel of the octonionic Hopf fibration. Zbl 1481.58012
Baudoin, Fabrice; Cho, Gunhee
2
2021
Asymptotic log-Harnack inequality and ergodicity for 3D Leray-\(\alpha\) model with degenerate type noise. Zbl 1475.60119
Hong, Wei; Li, Shihu; Liu, Wei
2
2021
A capacity-based condition for existence of solutions to fractional elliptic equations with first-order terms and measures. Zbl 1481.35379
de Borbón, María Laura; Ochoa, Pablo
2
2021
Correction to: “The mixed problem for the Laplacian in Lipschitz domains”. Zbl 1479.35411
Ott, Katharine A.; Brown, Russell M.
1
2021
Conformal Gauss map geometry and application to Willmore surfaces in model spaces. Zbl 1482.53016
Marque, Nicolas
1
2021
A \(L_p\) Brunn-Minkowski theory for logarithmic capacity. Zbl 1457.31008
Chen, Zhengmao
1
2021
Hessian estimates for non-divergence form elliptic equations arising from composite materials. Zbl 1472.35120
Dong, Hongjie; Xu, Longjuan
1
2021
Density estimates for the solutions of backward stochastic differential equations driven by Gaussian processes. Zbl 1470.60151
Fan, Xiliang; Wu, Jiang-Lun
1
2021
Transfinite diameter with generalized polynomial degree. Zbl 1460.32074
Ma‘u, Sione
1
2021
On sublevel set estimates and the Laplacian. Zbl 1481.35138
Steinerberger, Stefan
1
2021
Central limit theorems for non-symmetric random walks on nilpotent covering graphs. II. Zbl 1478.60109
Ishiwata, Satoshi; Kawabi, Hiroshi; Namba, Ryuya
1
2021
On two-weight norm inequalities for positive dyadic operators. Zbl 1471.42042
Hänninen, Timo S.; Verbitsky, Igor E.
1
2021
Gaussian fields, equilibrium potentials and multiplicative chaos for Dirichlet forms. Zbl 1477.31044
Fukushima, Masatoshi; Oshima, Yoichi
1
2021
Classification of nonnegative \(g\)-harmonic functions in half-spaces. Zbl 1475.35094
Braga, J. Ederson M.; Moreira, Diego
1
2021
Boundedness of singular integral operators on local Hardy spaces and dual spaces. Zbl 1479.42061
Ding, Wei; Han, YongSheng; Zhu, YuePing
1
2021
On the continuity and compactness of pseudodifferential operators on localizable Hardy spaces. Zbl 1476.35350
Hoepfner, G.; Kapp, R.; Picon, T.
1
2021
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Cited by 7,446 Authors

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51 Sawano, Yoshihiro
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50 Röckner, Michael
48 Nualart, David
46 Zhang, Tusheng S.
45 Yan, Litan
44 Dong, Hongjie
41 Albeverio, Sergio A.
40 Shimomura, Tetsu
39 Strichartz, Robert S.
37 Warma, Mahamadi
36 Baudoin, Fabrice
36 Brzeźniak, Zdzisław
36 Lu, Guozhen
36 Yuan, Wen
33 Wang, Feng-Yu
32 Bogdan, Krzysztof
32 Wang, Jian
31 Saloff-Coste, Laurent
30 Björn, Anders
30 Klimsiak, Tomasz
30 Shanmugalingam, Nageswari
30 Teplyaev, Alexander
29 Byun, Sun-Sig
28 Björn, Jana
28 Jentzen, Arnulf
28 Mizuta, Yoshihiro
27 Kumagai, Takashi
27 Vondraček, Zoran
27 Zhang, Xicheng
26 Beznea, Lucian
26 Ren, Yong
26 Takeda, Masayoshi
26 Tudor, Ciprian A.
25 Øksendal, Bernt Karsten
24 Grzywny, Tomasz
24 Koskela, Pekka
24 Maz’ya, Vladimir Gilelevich
24 Ohno, Takao
24 Schilling, René Leander
24 Wendland, Wolfgang L.
23 Hausenblas, Erika
23 Jakubowski, Tomasz
23 Kohr, Mirela
23 Lam, Nguyen
23 Tindel, Samy
23 Zhai, Jianliang
22 Betancor Perez, Jorge Juan
22 Grothaus, Martin
22 Hinz, Michael
22 Zorii, Natalia
21 Bass, Richard F.
21 Saff, Edward Barry
20 Hansen, Wolfhard
20 Hu, Mingshang
20 Jumarie, Guy M.
20 Kim, Doyoon
20 Krylov, Nicolaĭ Vladimirovich
20 Kulczycki, Tadeusz
20 Kuwae, Kazuhiro
20 Mâagli, Habib
20 Patie, Pierre
20 van den Berg, Michiel
20 Yuan, Chenggui
19 Bañuelos, Rodrigo
19 Choe, Boo Rim
19 Harjulehto, Petteri
19 Jørgensen, Palle E. T.
19 Kim, KyeongHun
19 Kinnunen, Juha
19 Liu, Wei
19 ter Elst, Antonius Frederik Maria
19 Veraar, Mark C.
18 Cianchi, Andrea
18 Duan, Jinqiao
18 Górka, Przemysław
18 Gyöngy, István
18 Kaleta, Kamil
18 Lahti, Panu
18 Passarelli di Napoli, Antonia
18 Peng, Shige
18 Priola, Enrico
18 Privault, Nicolas
18 Proske, Frank Norbert
18 Russo, Francesco
18 Ryznar, Michał
18 Smolyanov, Oleg Georgievich
18 Sun, Wei
18 Wu, Huoxiong
17 Gordina, Maria
17 Grigor’yan, Alexander Asaturovich
17 Kaßmann, Moritz
17 Koo, Hyungwoon
17 Nane, Erkan
17 Peletier, Mark Adriaan
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Cited in 626 Journals

477 Potential Analysis
360 Journal of Functional Analysis
356 Journal of Mathematical Analysis and Applications
303 Stochastic Processes and their Applications
237 Journal of Differential Equations
235 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
171 Transactions of the American Mathematical Society
148 Calculus of Variations and Partial Differential Equations
119 The Annals of Probability
116 Journal of Theoretical Probability
114 The Journal of Geometric Analysis
113 Proceedings of the American Mathematical Society
98 Statistics & Probability Letters
90 Mathematische Nachrichten
90 Probability Theory and Related Fields
88 Stochastic Analysis and Applications
85 Advances in Mathematics
84 Mathematische Zeitschrift
81 Infinite Dimensional Analysis, Quantum Probability and Related Topics
80 Stochastics and Dynamics
79 Electronic Journal of Probability
77 Stochastics
75 Journal of Evolution Equations
72 Mathematische Annalen
71 Annali di Matematica Pura ed Applicata. Serie Quarta
70 Journal de Mathématiques Pures et Appliquées. Neuvième Série
70 Complex Variables and Elliptic Equations
66 Communications on Pure and Applied Analysis
65 Bernoulli
63 Stochastic and Partial Differential Equations. Analysis and Computations
62 Acta Mathematica Sinica. English Series
61 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
59 The Journal of Fourier Analysis and Applications
56 Journal d’Analyse Mathématique
56 Discrete and Continuous Dynamical Systems
54 Journal of Mathematical Physics
54 Science China. Mathematics
52 Comptes Rendus. Mathématique. Académie des Sciences, Paris
49 The Annals of Applied Probability
49 SIAM Journal on Mathematical Analysis
48 Communications in Mathematical Physics
48 Journal of Statistical Physics
47 Journal of Inequalities and Applications
47 Analysis and Mathematical Physics
45 Bulletin des Sciences Mathématiques
45 Mediterranean Journal of Mathematics
41 Revista Matemática Iberoamericana
41 Communications in Partial Differential Equations
41 NoDEA. Nonlinear Differential Equations and Applications
41 Positivity
40 Journal of Mathematical Sciences (New York)
40 Frontiers of Mathematics in China
39 Archive for Rational Mechanics and Analysis
39 Discrete and Continuous Dynamical Systems. Series B
38 Applied Mathematics and Computation
37 Abstract and Applied Analysis
37 Fractional Calculus & Applied Analysis
36 Complex Analysis and Operator Theory
35 Forum Mathematicum
35 Communications in Contemporary Mathematics
35 Journal of Function Spaces
33 Journal of Computational and Applied Mathematics
32 Applied Mathematics and Optimization
32 Archiv der Mathematik
31 Integral Equations and Operator Theory
30 Applicable Analysis
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29 Mathematical Methods in the Applied Sciences
29 Manuscripta Mathematica
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29 Boundary Value Problems
28 Computers & Mathematics with Applications
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28 Banach Journal of Mathematical Analysis
27 Journal of Approximation Theory
27 Acta Applicandae Mathematicae
26 Zeitschrift für Analysis und ihre Anwendungen
26 Advances in Calculus of Variations
25 Journal of the Mathematical Society of Japan
25 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
25 Revista Matemática Complutense
25 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
24 Rocky Mountain Journal of Mathematics
24 Annales de l’Institut Fourier
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24 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
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23 Fractals
23 Analysis & PDE
22 ZAMP. Zeitschrift für angewandte Mathematik und Physik
22 Collectanea Mathematica
22 SIAM Journal on Control and Optimization
22 Journal of Pseudo-Differential Operators and Applications
21 Illinois Journal of Mathematics
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3,779 Probability theory and stochastic processes (60-XX)
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1,268 Operator theory (47-XX)
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444 Numerical analysis (65-XX)
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415 Differential geometry (53-XX)
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