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## Petrov, Leonid

Compute Distance To:
 Author ID: petrov.leonid Published as: Petrov, Leonid; Petrov, L. A.; Petrov, L. Homepage: http://faculty.virginia.edu/petrov/ External Links: MGP · ORCID · Wikidata · ResearchGate
 Documents Indexed: 36 Publications since 2009 Reviewing Activity: 17 Reviews
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#### Co-Authors

 12 single-authored 9 Borodin, Alexei 7 Corwin, Ivan 4 Bufetov, Alekseĭ Igor’evich 3 Sasamoto, Tomohiro 2 Matveev, Konstantin I. 1 Bufetov, Aleksandr Igorevich 1 Damron, Michael 1 Gorin, V. E. 1 Gorin, Vadim 1 Gromoll, H. Christian 1 Ismagilov, Rais Sal’manovich 1 Khoroshkin, Sergey M. 1 Kirillov, Alexandre Aleksandrovich 1 Knizel, Alisa 1 Meckes, Mark W. 1 Mkrtchyan, Sevak 1 Molchanov, Vladimir Fedorovich 1 Molev, Alexander I. 1 Mucciconi, Matteo 1 Nazarov, Maxim Leonidovich 1 Neretin, Yuriĭ Aleksandrovich 1 Nessonov, Nikolai I. 1 Okun’kov, Andreĭ Yur’evich 1 Orr, Daniel 1 Saenz, Axel 1 Sivakoff, David 1 Tikhonov, Mikhail 1 Vershik, Anatoliĭ Moiseevich
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#### Serials

 6 Communications in Mathematical Physics 3 Advances in Mathematics 3 Electronic Journal of Probability 2 Journal of Statistical Physics 2 Russian Mathematical Surveys 2 The Annals of Probability 2 Probability Theory and Related Fields 2 Selecta Mathematica. New Series 2 Electronic Communications in Probability 1 Compositio Mathematica 1 Functional Analysis and its Applications 1 Journal of Combinatorial Theory. Series A 1 IMRN. International Mathematics Research Notices 1 Journal of Algebraic Combinatorics 1 Journal of Mathematical Sciences (New York) 1 Moscow Mathematical Journal 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Probability Surveys 1 Forum of Mathematics, Sigma 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
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#### Fields

 25 Probability theory and stochastic processes (60-XX) 24 Statistical mechanics, structure of matter (82-XX) 12 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Functional analysis (46-XX) 1 Operations research, mathematical programming (90-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 438 times in 216 Documents Cited by Year
Stochastic higher spin vertex models on the line. Zbl 1348.82055
Corwin, Ivan; Petrov, Leonid
2016
Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023
Borodin, Alexei; Petrov, Leonid
2014
Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141
Borodin, Alexei; Petrov, Leonid
2018
Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes. Zbl 1315.60013
Petrov, Leonid
2014
Spectral theory for the $$q$$-boson particle system. Zbl 1314.05212
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
2015
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
2015
Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field. Zbl 1315.60062
Petrov, Leonid
2015
Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161
Borodin, Alexei; Petrov, Leonid
2016
Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010
Borodin, Alexei; Petrov, Leonid
2017
Two-parameter family of infinite-dimensional diffusions on the Kingman simplex. Zbl 1204.60076
Petrov, L. A.
2009
The $$q$$-PushASEP: a New Integrable Model for Traffic in $$1+1$$ dimension. Zbl 1323.82029
Corwin, Ivan; Petrov, Leonid
2015
The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its $$q$$-analogue. Zbl 1297.05249
Petrov, Leonid
2014
$$q$$-randomized Robinson-Schensted-Knuth correspondences and random polymers. Zbl 1381.60030
Matveev, Konstantin; Petrov, Leonid
2017
Stochastic higher spin six vertex model and $$q$$-TASEPs. Zbl 1379.82016
Orr, Daniel; Petrov, Leonid
2017
Law of large numbers for infinite random matrices over a finite field. Zbl 1335.60032
Bufetov, Alexey; Petrov, Leonid
2015
Inhomogeneous exponential jump model. Zbl 1412.82027
Borodin, Alexei; Petrov, Leonid
2018
Yang-Baxter field for spin Hall-Littlewood symmetric functions. Zbl 07125843
Bufetov, Alexey; Petrov, Leonid
2019
Generalizations of TASEP in discrete and continuous inhomogeneous space. Zbl 1439.60093
Knizel, Alisa; Petrov, Leonid; Saenz, Axel
2019
Random walks on strict partitions. Zbl 1288.60056
Petrov, L.
2010
$$\mathfrak{sl}(2)$$ operators and Markov processes on branching graphs. Zbl 1284.05332
Petrov, Leonid
2013
Correction to: “Stochastic higher spin vertex models on the line”. Zbl 1426.82039
Corwin, Ivan; Petrov, Leonid
2019
Random strict partitions and determinantal point processes. Zbl 1226.60072
Petrov, Leonid
2010
Pfaffian stochastic dynamics of strict partitions. Zbl 1244.60083
Petrov, Leonid
2011
Correction to: “Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz”. Zbl 1421.82008
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
2019
Yang-Baxter random fields and stochastic vertex models. Zbl 1469.05162
Bufetov, Alexey; Mucciconi, Matteo; Petrov, Leonid
2021
GUE corners limit of $$q$$-distributed lozenge tilings. Zbl 1386.60035
Mkrtchyan, Sevak; Petrov, Leonid
2017
Limit behaviour of certain random walks on strict partitions. Zbl 1196.60140
Petrov, L. A.
2009
Universality of local statistics for noncolliding random walks. Zbl 1448.60106
2019
Coarsening model on $${\mathbb{Z}^{d}}$$ with biased zero-energy flips and an exponential large deviation bound for ASEP. Zbl 1397.82035
Damron, Michael; Petrov, Leonid; Sivakoff, David
2018
PushTASEP in inhomogeneous space. Zbl 1453.82058
Petrov, Leonid
2020
The $$q$$-Hahn PushTASEP. Zbl 07379804
Corwin, Ivan; Matveev, Konstantin; Petrov, Leonid
2021
Yang-Baxter random fields and stochastic vertex models. Zbl 1469.05162
Bufetov, Alexey; Mucciconi, Matteo; Petrov, Leonid
2021
The $$q$$-Hahn PushTASEP. Zbl 07379804
Corwin, Ivan; Matveev, Konstantin; Petrov, Leonid
2021
PushTASEP in inhomogeneous space. Zbl 1453.82058
Petrov, Leonid
2020
Yang-Baxter field for spin Hall-Littlewood symmetric functions. Zbl 07125843
Bufetov, Alexey; Petrov, Leonid
2019
Generalizations of TASEP in discrete and continuous inhomogeneous space. Zbl 1439.60093
Knizel, Alisa; Petrov, Leonid; Saenz, Axel
2019
Correction to: “Stochastic higher spin vertex models on the line”. Zbl 1426.82039
Corwin, Ivan; Petrov, Leonid
2019
Correction to: “Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz”. Zbl 1421.82008
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
2019
Universality of local statistics for noncolliding random walks. Zbl 1448.60106
2019
Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141
Borodin, Alexei; Petrov, Leonid
2018
Inhomogeneous exponential jump model. Zbl 1412.82027
Borodin, Alexei; Petrov, Leonid
2018
Coarsening model on $${\mathbb{Z}^{d}}$$ with biased zero-energy flips and an exponential large deviation bound for ASEP. Zbl 1397.82035
Damron, Michael; Petrov, Leonid; Sivakoff, David
2018
Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010
Borodin, Alexei; Petrov, Leonid
2017
$$q$$-randomized Robinson-Schensted-Knuth correspondences and random polymers. Zbl 1381.60030
Matveev, Konstantin; Petrov, Leonid
2017
Stochastic higher spin six vertex model and $$q$$-TASEPs. Zbl 1379.82016
Orr, Daniel; Petrov, Leonid
2017
GUE corners limit of $$q$$-distributed lozenge tilings. Zbl 1386.60035
Mkrtchyan, Sevak; Petrov, Leonid
2017
Stochastic higher spin vertex models on the line. Zbl 1348.82055
Corwin, Ivan; Petrov, Leonid
2016
Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161
Borodin, Alexei; Petrov, Leonid
2016
Spectral theory for the $$q$$-boson particle system. Zbl 1314.05212
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
2015
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
2015
Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field. Zbl 1315.60062
Petrov, Leonid
2015
The $$q$$-PushASEP: a New Integrable Model for Traffic in $$1+1$$ dimension. Zbl 1323.82029
Corwin, Ivan; Petrov, Leonid
2015
Law of large numbers for infinite random matrices over a finite field. Zbl 1335.60032
Bufetov, Alexey; Petrov, Leonid
2015
Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023
Borodin, Alexei; Petrov, Leonid
2014
Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes. Zbl 1315.60013
Petrov, Leonid
2014
The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its $$q$$-analogue. Zbl 1297.05249
Petrov, Leonid
2014
$$\mathfrak{sl}(2)$$ operators and Markov processes on branching graphs. Zbl 1284.05332
Petrov, Leonid
2013
Pfaffian stochastic dynamics of strict partitions. Zbl 1244.60083
Petrov, Leonid
2011
Random walks on strict partitions. Zbl 1288.60056
Petrov, L.
2010
Random strict partitions and determinantal point processes. Zbl 1226.60072
Petrov, Leonid
2010
Two-parameter family of infinite-dimensional diffusions on the Kingman simplex. Zbl 1204.60076
Petrov, L. A.
2009
Limit behaviour of certain random walks on strict partitions. Zbl 1196.60140
Petrov, L. A.
2009
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#### Cited by 188 Authors

 24 Corwin, Ivan 23 Borodin, Alexei 20 Petrov, Leonid 19 Gorin, Vadim 11 Bufetov, Alekseĭ Igor’evich 10 Ol’shanskiĭ, Grigoriĭ Iosifovich 9 Sasamoto, Tomohiro 7 Barraquand, Guillaume 6 Aggarwal, Amol 6 Giardinà, Cristian 6 Johansson, Kurt 5 Cuenca, Cesar 5 Motegi, Kohei 5 Shen, Hao 5 van Diejen, Jan Felipe 4 Carinci, Gioia 4 Dimitrov, Evgeni I. 4 Duits, Maurice 4 Emsiz, Erdal 4 Ferrari, Patrik Lino 4 Ghosal, Promit 4 Imamura, Takashi 4 Laslier, Benoît 4 Redig, Frank 4 Wheeler, Michael 3 Adler, Mark 3 Chhita, Sunil 3 Colomo, Filippo 3 Duse, Erik 3 Duzhin, V. S. 3 Franceschini, Chiara 3 Knizel, Alisa 3 Koshida, Shinji 3 Kuniba, Atsuo 3 Lin, Yier 3 Mangazeev, Vladimir V. 3 Metcalfe, Anthony P. 3 Okado, Masato 3 Panova, Greta 3 Ruggiero, Matteo 3 Saenz, Axel 3 Shkolnikov, Mykhaylo 3 Sportiello, Andrea 3 Tsai, Li-cheng 3 van Moerbeke, Pierre 3 Vasil’ev, N. N. 2 Aas, Erik 2 Assiotis, Theodoros 2 Debin, Bryan 2 Feng, Shui 2 Fischbacher, Christoph 2 Garbali, Alexandr 2 Granet, Etienne 2 Grinberg, Darij 2 Groenevelt, Wolter G. M. 2 Kuijlaars, Arno B. J. 2 Lee, Eunghyun 2 Matveev, Konstantin I. 2 Mucciconi, Matteo 2 Pak, Igor 2 Pei, Yuchen 2 Pronko, Andrei G. 2 Quastel, Jeremy 2 Remenik, Daniel 2 Ruelle, Philippe 2 Schütz, Gunter M. 2 Scrimshaw, Travis 2 Seppäläinen, Timo 2 Spohn, Herbert 2 Toninelli, Fabio Lucio 2 Vető, Bálint 2 Wang, Dong 2 Young, Benjamin J. 1 Ahn, Andrew 1 Arbel, Julyan 1 Baik, Jinho 1 Banderier, Cyril 1 Bates, Erik 1 Beffara, Vincent 1 Belitsky, Vladimir 1 Berestycki, Nathanaël 1 Bisi, Elia 1 Blank, M. L. 1 Bogolyubov, Nikolaĭ Mikhaĭlovich 1 Bordenave, Charles 1 Bosnjak, Gary 1 Breuer, Jonathan 1 Brubaker, Ben 1 Buciumas, Valentin 1 Budzynski, Louise 1 Bump, Daniel 1 Caracciolo, Sergio 1 Charlier, Christophe 1 Chatterjee, Sourav 1 Ciucu, Mihai 1 Claeys, Tom 1 Crane, Harry 1 de Gier, Jan 1 Deift, Percy A. 1 Di Francesco, Philippe ...and 88 more Authors
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#### Cited in 62 Serials

 26 Communications in Mathematical Physics 13 Journal of Statistical Physics 12 The Annals of Probability 12 Probability Theory and Related Fields 9 Advances in Mathematics 8 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Journal of Mathematical Physics 7 Selecta Mathematica. New Series 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 6 Electronic Journal of Probability 5 Duke Mathematical Journal 5 Journal of Combinatorial Theory. Series A 5 The Annals of Applied Probability 5 Journal of Mathematical Sciences (New York) 5 Mathematical Physics, Analysis and Geometry 4 Letters in Mathematical Physics 4 Nuclear Physics. B 4 Functional Analysis and its Applications 4 Journal of Functional Analysis 4 Journal of Physics A: Mathematical and Theoretical 3 Transactions of the American Mathematical Society 3 Journal of Algebraic Combinatorics 3 Annales Henri Poincaré 3 Journal of Statistical Mechanics: Theory and Experiment 2 Theoretical and Mathematical Physics 2 Advances in Applied Mathematics 2 Stochastic Processes and their Applications 2 Bulletin of the American Mathematical Society. New Series 2 The Electronic Journal of Combinatorics 2 Journal of the European Mathematical Society (JEMS) 2 Algebraic Combinatorics 1 Communications on Pure and Applied Mathematics 1 Problems of Information Transmission 1 Annales de l’Institut Fourier 1 Annals of the Institute of Statistical Mathematics 1 Compositio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Publications Mathématiques 1 Journal of Applied Probability 1 Proceedings of the American Mathematical Society 1 Statistical Science 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Computational Statistics and Data Analysis 1 Journal of Knot Theory and its Ramifications 1 Potential Analysis 1 Annales Mathématiques Blaise Pascal 1 Electronic Communications in Probability 1 Bernoulli 1 Séminaire Lotharingien de Combinatoire 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Moscow Mathematical Journal 1 Mathematics in Computer Science 1 Probability Surveys 1 Science China. Mathematics 1 Forum of Mathematics, Pi 1 Forum of Mathematics, Sigma 1 Dependence Modeling 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
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#### Cited in 32 Fields

 142 Probability theory and stochastic processes (60-XX) 118 Statistical mechanics, structure of matter (82-XX) 65 Combinatorics (05-XX) 27 Quantum theory (81-XX) 24 Special functions (33-XX) 20 Partial differential equations (35-XX) 16 Linear and multilinear algebra; matrix theory (15-XX) 12 Nonassociative rings and algebras (17-XX) 11 Associative rings and algebras (16-XX) 10 Topological groups, Lie groups (22-XX) 7 Group theory and generalizations (20-XX) 7 Convex and discrete geometry (52-XX) 7 Numerical analysis (65-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistics (62-XX) 4 Abstract harmonic analysis (43-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Integral transforms, operational calculus (44-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 1 Category theory; homological algebra (18-XX) 1 Ordinary differential equations (34-XX) 1 Sequences, series, summability (40-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX)

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