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Author ID: mytnik.leonid Recent zbMATH articles by "Mytnik, Leonid"
Published as: Mytnik, Leonid; Mytnik, L.
Homepage: http://iew3.technion.ac.il/Home/Users/leonid.html
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Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 496 times in 308 Documents Cited by Year
Effect of noise on front propagation in reaction-diffusion equations of KPP type. Zbl 1222.35105
Mueller, Carl; Mytnik, Leonid; Quastel, Jeremy
45
2011
Stochastic partial differential equation driven by stable noise. Zbl 1009.60053
Mytnik, Leonid
43
2002
Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case. Zbl 1233.60039
Mytnik, Leonid; Perkins, Edwin
39
2011
On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients. Zbl 1108.60057
Mytnik, Leonid; Perkins, Edwin; Sturm, Anja
37
2006
Strong solutions for stochastic differential equations with jumps. Zbl 1273.60070
Li, Zenghu; Mytnik, Leonid
30
2011
Nonuniqueness for a parabolic SPDE with \(\frac{3}{4}-\varepsilon \)-Hölder diffusion coefficients. Zbl 1301.60080
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
19
2014
Weak uniqueness for the heat equation with noise. Zbl 0935.60045
Mytnik, Leonid
18
1998
Regularity and irregularity of \((1+\beta)\)-stable super-Brownian motion. Zbl 1042.60030
Mytnik, Leonid; Perkins, Edwin
16
2003
Superprocesses in random environments. Zbl 0874.60041
Mytnik, Leonid
14
1996
Uniqueness for a mutually catalytic branching model. Zbl 0912.60076
Mytnik, Leonid
14
1998
Regularization by noise and flows of solutions for a stochastic heat equation. Zbl 1447.60091
Butkovsky, Oleg; Mytnik, Leonid
13
2019
The heat equation with time-independent multiplicative stable Lévy noise. Zbl 1120.60060
Mueller, Carl; Mytnik, Leonid; Stan, Aurel
12
2006
The speed of a random front for stochastic reaction-diffusion equations with strong noise. Zbl 1466.35005
Mueller, Carl; Mytnik, Leonid; Ryzhik, Lenya
12
2021
Optimal local Hölder index for density states of superprocesses with \((1+\beta )\)-branching mechanism. Zbl 1207.60055
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
10
2010
Strong existence and uniqueness for stable stochastic differential equations with distributional drift. Zbl 1461.60039
Athreya, Siva; Butkovsky, Oleg; Mytnik, Leonid
10
2020
The Aldous chain on cladograms in the diffusion limit. Zbl 1452.60045
Löhr, Wolfgang; Mytnik, Leonid; Winter, Anita
10
2020
Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence. Zbl 1266.60160
Klenke, Achim; Mytnik, Leonid
9
2012
On the boundary of the support of super-Brownian motion. Zbl 1412.60123
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
9
2017
Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior. Zbl 1244.60088
Klenke, Achim; Mytnik, Leonid
8
2012
Stochastic integral representation and regularity of the density for the exit measure of super-Brownian motion. Zbl 1097.60033
Le Gall, Jean-François; Mytnik, Leonid
8
2005
Small noise asymptotics of traveling waves. Zbl 1155.60325
Mueller, C.; Mytnik, L.; Quastel, J.
8
2008
Well-posedness of the martingale problem for superprocess with interaction. Zbl 1342.60062
Mytnik, Leonid; Xiong, Jie
8
2015
Multifractal analysis of superprocesses with stable branching in dimension one. Zbl 1332.60122
Mytnik, Leonid; Wachtel, Vitali
8
2015
Stochastic differential equation for Brox diffusion. Zbl 1378.60081
Hu, Yaozhong; Lê, Khoa; Mytnik, Leonid
8
2017
Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
7
2002
Hölder index at a given point for density states of super-\(\alpha \)-stable motion of index \(1+\beta \). Zbl 1226.60112
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
7
2011
Infinite rate mutually catalytic branching. Zbl 1204.60081
Klenke, Achim; Mytnik, Leonid
6
2010
Sample path properties of Volterra processes. Zbl 1331.60061
Mytnik, Leonid; Neuman, Eyal
6
2012
Hitting properties and non-uniqueness for SDEs driven by stable processes. Zbl 1307.60073
Berestycki, J.; Döring, L.; Mytnik, L.; Zambotti, L.
5
2015
Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091
Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
5
2003
On the topological boundary of the range of super-Brownian motion. Zbl 1471.60072
Hong, Jieliang; Mytnik, Leonid; Perkins, Edwin
5
2020
The dimension of the boundary of super-Brownian motion. Zbl 1448.60145
Mytnik, Leonid; Perkins, Edwin
5
2019
Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030
Durrett, Richard; Mytnik, Leonid; Perkins, Edwin
5
2005
Pathwise uniqueness for the stochastic heat equation with Hölder continuous drift and noise coefficients. Zbl 1322.60119
Mytnik, Leonid; Neuman, Eyal
5
2015
Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
4
2002
Mutually catalytic branching processes and voter processes with strength of opinion. Zbl 1277.60138
Döring, Leif; Mytnik, Leonid
4
2012
Longtime behavior for mutually catalytic branching with negative correlations. Zbl 1296.60232
Döring, Leif; Mytnik, Leonid
3
2013
On exceptional times for generalized Fleming-Viot processes with mutations. Zbl 1320.60141
Berestycki, J.; Döring, L.; Mytnik, L.; Zambotti, L.
2
2014
Self-intersection local time of \((\alpha ,d,\beta )\)-superprocess. Zbl 1118.60041
Mytnik, L.; Villa, J.
2
2007
Tanaka formulae for (\(\alpha, d, \beta\))-superprocesses. Zbl 1078.60071
Mytnik, L.; Xiang, K.-N.
2
2004
Local extinction for superprocesses in random environments. Zbl 1130.60095
Mytnik, Leonid; Xiong, Jie
2
2007
Regularity and irregularity of superprocesses with \((1 + \beta)\)-stable branching mechanism. Zbl 1385.60001
Mytnik, Leonid; Wachtel, Vitali
2
2016
Fisher-KPP equation with small data and the extremal process of branching Brownian motion. Zbl 1481.60182
Mytnik, Leonid; Roquejoffre, Jean-Michel; Ryzhik, Lenya
2
2022
Absolute continuity of the super-Brownian motion with infinite mean. Zbl 1492.60233
Mamin, Rustam; Mytnik, Leonid
2
2021
Uniqueness for a competing species model. Zbl 0941.92025
Mytnik, Leonid
1
1999
Collision measure and collision local time for \((\alpha,d,\beta)\) superprocesses. Zbl 0917.60083
Mytnik, Leonid
1
1998
Asymptotic behaviour of the critical value for the contact process with rapid stirring. Zbl 1304.82046
Berezin, Roman; Mytnik, Leonid
1
2014
Competing species superprocesses with infinite variance. Zbl 1065.60145
Fleischmann, Klaus; Mytnik, Leonid
1
2003
Bisexual branching diffusions. Zbl 0840.60044
Mytnik, Leonid; Adler, Robert J.
1
1995
Super-Brownian motion with reflecting historical paths. II: Convergence of approximations. Zbl 1082.60076
Burdzy, Krzysztof; Mytnik, Leonid
1
2005
The distance between the two BBM leaders. Zbl 1484.35262
Berestycki, Julien; Brunet, Éric; Graham, Cole; Mytnik, Leonid; Roquejoffre, Jean-Michel; Ryzhik, Lenya
1
2022
Fisher-KPP equation with small data and the extremal process of branching Brownian motion. Zbl 1481.60182
Mytnik, Leonid; Roquejoffre, Jean-Michel; Ryzhik, Lenya
2
2022
The distance between the two BBM leaders. Zbl 1484.35262
Berestycki, Julien; Brunet, Éric; Graham, Cole; Mytnik, Leonid; Roquejoffre, Jean-Michel; Ryzhik, Lenya
1
2022
The speed of a random front for stochastic reaction-diffusion equations with strong noise. Zbl 1466.35005
Mueller, Carl; Mytnik, Leonid; Ryzhik, Lenya
12
2021
Absolute continuity of the super-Brownian motion with infinite mean. Zbl 1492.60233
Mamin, Rustam; Mytnik, Leonid
2
2021
Strong existence and uniqueness for stable stochastic differential equations with distributional drift. Zbl 1461.60039
Athreya, Siva; Butkovsky, Oleg; Mytnik, Leonid
10
2020
The Aldous chain on cladograms in the diffusion limit. Zbl 1452.60045
Löhr, Wolfgang; Mytnik, Leonid; Winter, Anita
10
2020
On the topological boundary of the range of super-Brownian motion. Zbl 1471.60072
Hong, Jieliang; Mytnik, Leonid; Perkins, Edwin
5
2020
Regularization by noise and flows of solutions for a stochastic heat equation. Zbl 1447.60091
Butkovsky, Oleg; Mytnik, Leonid
13
2019
The dimension of the boundary of super-Brownian motion. Zbl 1448.60145
Mytnik, Leonid; Perkins, Edwin
5
2019
On the boundary of the support of super-Brownian motion. Zbl 1412.60123
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
9
2017
Stochastic differential equation for Brox diffusion. Zbl 1378.60081
Hu, Yaozhong; Lê, Khoa; Mytnik, Leonid
8
2017
Regularity and irregularity of superprocesses with \((1 + \beta)\)-stable branching mechanism. Zbl 1385.60001
Mytnik, Leonid; Wachtel, Vitali
2
2016
Well-posedness of the martingale problem for superprocess with interaction. Zbl 1342.60062
Mytnik, Leonid; Xiong, Jie
8
2015
Multifractal analysis of superprocesses with stable branching in dimension one. Zbl 1332.60122
Mytnik, Leonid; Wachtel, Vitali
8
2015
Hitting properties and non-uniqueness for SDEs driven by stable processes. Zbl 1307.60073
Berestycki, J.; Döring, L.; Mytnik, L.; Zambotti, L.
5
2015
Pathwise uniqueness for the stochastic heat equation with Hölder continuous drift and noise coefficients. Zbl 1322.60119
Mytnik, Leonid; Neuman, Eyal
5
2015
Nonuniqueness for a parabolic SPDE with \(\frac{3}{4}-\varepsilon \)-Hölder diffusion coefficients. Zbl 1301.60080
Mueller, Carl; Mytnik, Leonid; Perkins, Edwin
19
2014
On exceptional times for generalized Fleming-Viot processes with mutations. Zbl 1320.60141
Berestycki, J.; Döring, L.; Mytnik, L.; Zambotti, L.
2
2014
Asymptotic behaviour of the critical value for the contact process with rapid stirring. Zbl 1304.82046
Berezin, Roman; Mytnik, Leonid
1
2014
Longtime behavior for mutually catalytic branching with negative correlations. Zbl 1296.60232
Döring, Leif; Mytnik, Leonid
3
2013
Infinite rate mutually catalytic branching in infinitely many colonies: construction, characterization and convergence. Zbl 1266.60160
Klenke, Achim; Mytnik, Leonid
9
2012
Infinite rate mutually catalytic branching in infinitely many colonies: the longtime behavior. Zbl 1244.60088
Klenke, Achim; Mytnik, Leonid
8
2012
Sample path properties of Volterra processes. Zbl 1331.60061
Mytnik, Leonid; Neuman, Eyal
6
2012
Mutually catalytic branching processes and voter processes with strength of opinion. Zbl 1277.60138
Döring, Leif; Mytnik, Leonid
4
2012
Effect of noise on front propagation in reaction-diffusion equations of KPP type. Zbl 1222.35105
Mueller, Carl; Mytnik, Leonid; Quastel, Jeremy
45
2011
Pathwise uniqueness for stochastic heat equations with Hölder continuous coefficients: The white noise case. Zbl 1233.60039
Mytnik, Leonid; Perkins, Edwin
39
2011
Strong solutions for stochastic differential equations with jumps. Zbl 1273.60070
Li, Zenghu; Mytnik, Leonid
30
2011
Hölder index at a given point for density states of super-\(\alpha \)-stable motion of index \(1+\beta \). Zbl 1226.60112
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
7
2011
Optimal local Hölder index for density states of superprocesses with \((1+\beta )\)-branching mechanism. Zbl 1207.60055
Fleischmann, Klaus; Mytnik, Leonid; Wachtel, Vitali
10
2010
Infinite rate mutually catalytic branching. Zbl 1204.60081
Klenke, Achim; Mytnik, Leonid
6
2010
Small noise asymptotics of traveling waves. Zbl 1155.60325
Mueller, C.; Mytnik, L.; Quastel, J.
8
2008
Self-intersection local time of \((\alpha ,d,\beta )\)-superprocess. Zbl 1118.60041
Mytnik, L.; Villa, J.
2
2007
Local extinction for superprocesses in random environments. Zbl 1130.60095
Mytnik, Leonid; Xiong, Jie
2
2007
On pathwise uniqueness for stochastic heat equations with non-Lipschitz coefficients. Zbl 1108.60057
Mytnik, Leonid; Perkins, Edwin; Sturm, Anja
37
2006
The heat equation with time-independent multiplicative stable Lévy noise. Zbl 1120.60060
Mueller, Carl; Mytnik, Leonid; Stan, Aurel
12
2006
Stochastic integral representation and regularity of the density for the exit measure of super-Brownian motion. Zbl 1097.60033
Le Gall, Jean-François; Mytnik, Leonid
8
2005
Competing super-Brownian motions as limits of interacting particle systems. Zbl 1111.60030
Durrett, Richard; Mytnik, Leonid; Perkins, Edwin
5
2005
Super-Brownian motion with reflecting historical paths. II: Convergence of approximations. Zbl 1082.60076
Burdzy, Krzysztof; Mytnik, Leonid
1
2005
Tanaka formulae for (\(\alpha, d, \beta\))-superprocesses. Zbl 1078.60071
Mytnik, L.; Xiang, K.-N.
2
2004
Regularity and irregularity of \((1+\beta)\)-stable super-Brownian motion. Zbl 1042.60030
Mytnik, Leonid; Perkins, Edwin
16
2003
Mutually catalytic branching in the plane: Uniqueness. Zbl 1016.60091
Dawson, Donald A.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
5
2003
Competing species superprocesses with infinite variance. Zbl 1065.60145
Fleischmann, Klaus; Mytnik, Leonid
1
2003
Stochastic partial differential equation driven by stable noise. Zbl 1009.60053
Mytnik, Leonid
43
2002
Mutually catalytic branching in the plane: Infinite measure states. Zbl 1016.60075
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
7
2002
Mutually catalytic branching in the plane: Finite measure states. Zbl 1017.60098
Dawson, Donald A.; Etheridge, Alison M.; Fleischmann, Klaus; Mytnik, Leonid; Perkins, Edwin A.; Xiong, Jie
4
2002
Uniqueness for a competing species model. Zbl 0941.92025
Mytnik, Leonid
1
1999
Weak uniqueness for the heat equation with noise. Zbl 0935.60045
Mytnik, Leonid
18
1998
Uniqueness for a mutually catalytic branching model. Zbl 0912.60076
Mytnik, Leonid
14
1998
Collision measure and collision local time for \((\alpha,d,\beta)\) superprocesses. Zbl 0917.60083
Mytnik, Leonid
1
1998
Superprocesses in random environments. Zbl 0874.60041
Mytnik, Leonid
14
1996
Bisexual branching diffusions. Zbl 0840.60044
Mytnik, Leonid; Adler, Robert J.
1
1995
all top 5

Cited by 374 Authors

30 Mytnik, Leonid
16 Xiong, Jie
12 Yang, Xu
10 Perkins, Edwin A.
9 Etheridge, Alison Mary
8 Fleischmann, Klaus
7 Han, Beom-Seok
7 Zhou, Xiaowen
6 Klenke, Achim
6 Müller, Carl E.
5 Derrida, Bernard
5 Hong, Jieliang
5 Khoshnevisan, Davar
5 Li, Zenghu
4 Berestycki, Julien
4 Butkovsky, Oleg A.
4 Dawson, Donald Andrew
4 Döring, Leif
4 Forman, Noah Mills
4 Friesen, Martin
4 He, Hui
4 Huang, Jianhua
4 Priola, Enrico
4 Wachtel, Vitali I.
4 Wen, Hao
4 Zambotti, Lorenzo
4 Zhang, Tusheng S.
3 Athreya, Siva R.
3 Balan, Raluca M.
3 Blath, Jochen
3 Brzeźniak, Zdzisław
3 Chong, Carsten
3 Foondun, Mohammud
3 Hammer, Matthias
3 Hausenblas, Erika
3 Huang, Zhehao
3 Ji, Lina
3 Kühn, Christian
3 Li, Libo
3 Liu, Rongli
3 Liu, Zhengrong
3 Menozzi, Stéphane
3 Neuman, Eyal
3 Ren, Yanxia
3 Riedle, Markus
3 Rizzolo, Douglas
3 Rosati, Tommaso Cornelis
3 Rüdiger, Barbara
3 Sturm, Anja K.
3 Tindel, Samy
3 Tsukada, Hiroshi
3 Véber, Amandine
3 Wang, Yongjin
3 Wang, Zhenzhen
3 Winkel, Matthias
3 Winter, Anita
3 Xie, Bin
2 Barczy, Mátyás
2 Barton, Nick H.
2 Blouhi, Tayeb
2 Bogdan, Krzysztof
2 Bogso, Antoine-Marie
2 Chaudru De Raynal, Paul-Eric
2 Chen, Le
2 Chen, Yu-Ting
2 Dalang, Robert C.
2 Dareiotis, Konstantinos Anastasios
2 Ferhat, Mohamed
2 Gerencsér, Máté
2 Gess, Benjamin
2 Gulisashvili, Archil
2 Harang, Fabian Andsem
2 Hu, Yaozhong
2 Huang, Jingyu
2 Hughes, Thomas
2 Jaber, Eduardo Abi
2 Jakubowski, Tomasz
2 Jin, Peng
2 Kim, Kunwoo
2 Kliem, Sandra M.
2 Klimek, Aleksander
2 Kouritzin, Michael A.
2 Larsson, Martin
2 Le Doussal, Pierre
2 Le, Khoa
2 Li, Peisen
2 Li, Yuhong
2 Ling, Chengcheng
2 Luo, Dejun
2 Mallein, Bastien
2 Menoukeu Pamen, Olivier
2 Nie, Florian
2 Noble, John M.
2 Nualart, David
2 Nualart, Eulalia
2 Ortgiese, Marcel
2 Pacheco-González, Carlos Gabriel
2 Pal, Soumik
2 Perkowski, Nicolas
2 Pilarczyk, Dominika
...and 274 more Authors
all top 5

Cited in 88 Serials

35 Stochastic Processes and their Applications
34 The Annals of Probability
22 Electronic Journal of Probability
13 Probability Theory and Related Fields
12 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
11 Statistics & Probability Letters
9 Journal of Differential Equations
9 Stochastic and Partial Differential Equations. Analysis and Computations
8 ALEA. Latin American Journal of Probability and Mathematical Statistics
7 Stochastic Analysis and Applications
7 Electronic Communications in Probability
6 Journal of Theoretical Probability
6 The Annals of Applied Probability
6 Potential Analysis
5 Journal of Mathematical Analysis and Applications
5 Journal of Statistical Physics
5 Bernoulli
5 Stochastics
4 Stochastics and Dynamics
3 Communications in Mathematical Physics
3 Journal of Functional Analysis
3 Transactions of the American Mathematical Society
3 NoDEA. Nonlinear Differential Equations and Applications
3 Acta Mathematica Sinica. English Series
3 Discrete and Continuous Dynamical Systems. Series B
3 Journal of Physics A: Mathematical and Theoretical
2 Mathematical Methods in the Applied Sciences
2 Illinois Journal of Mathematics
2 Inventiones Mathematicae
2 Journal of Applied Probability
2 Osaka Journal of Mathematics
2 Theoretical Population Biology
2 Acta Applicandae Mathematicae
2 Physica D
2 Journal of Dynamics and Differential Equations
2 Nonlinear Analysis. Real World Applications
2 Oberwolfach Reports
2 Science China. Mathematics
2 International Journal of Stochastic Analysis
1 Archive for Rational Mechanics and Analysis
1 Computers & Mathematics with Applications
1 Communications on Pure and Applied Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Nonlinearity
1 Rocky Mountain Journal of Mathematics
1 Studia Mathematica
1 Applied Mathematics and Optimization
1 BIT
1 Bulletin de la Société Mathématique de France
1 Journal of Computational and Applied Mathematics
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Studies in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Statistical Science
1 Revista Matemática Iberoamericana
1 Science in China. Series A
1 Random Structures & Algorithms
1 Communications in Partial Differential Equations
1 SIAM Journal on Mathematical Analysis
1 Applied Mathematics. Series B (English Edition)
1 Theory of Probability and Mathematical Statistics
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Memoirs on Differential Equations and Mathematical Physics
1 Random Operators and Stochastic Equations
1 Bulletin des Sciences Mathématiques
1 Discrete and Continuous Dynamical Systems
1 Differential Equations and Dynamical Systems
1 Fractional Calculus & Applied Analysis
1 Matematicheskie Trudy
1 Brazilian Journal of Probability and Statistics
1 Journal of Evolution Equations
1 Dynamical Systems
1 Stochastic Models
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Advances in Difference Equations
1 Journal of Statistical Mechanics: Theory and Experiment
1 Proceedings of the Steklov Institute of Mathematics
1 Frontiers of Mathematics in China
1 SIAM Journal on Financial Mathematics
1 Probability Surveys
1 Mathematical Control and Related Fields
1 Communications in Mathematics and Statistics
1 ISRN Probability and Statistics
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Annales Henri Lebesgue
1 Electronic Research Archive

Citations by Year