Edit Profile (opens in new tab) Petrov, Leonid Co-Author Distance Author ID: petrov.leonid Published as: Petrov, Leonid; Petrov, L. A.; Petrov, L. more...less Homepage: http://faculty.virginia.edu/petrov/ External Links: MGP · ORCID · Wikidata · ResearchGate Documents Indexed: 49 Publications since 2003, including 7 Additional arXiv Preprints Reviewing Activity: 17 Reviews Co-Authors: 33 Co-Authors with 35 Joint Publications 798 Co-Co-Authors all top 5 Co-Authors 14 single-authored 11 Borodin, Alexei 7 Corwin, Ivan Z. 4 Bufetov, Alekseĭ Igor’evich 3 Saenz, Axel 3 Sasamoto, Tomohiro 2 Aggarwal, Amol 2 Koleva, Maria K. 2 Matveev, Konstantin I. 2 Mucciconi, Matteo 2 Nicoletti, Matthew 2 Tikhonov, Mikhail 1 Bufetov, Aleksandr Igorevich 1 Damron, Michael 1 Gavrilova, Svetlana 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 Nazarov, Maxim Leonidovich 1 Neretin, Yuriĭ Aleksandrovich 1 Nessonov, Nikolai I. 1 Okun’kov, Andreĭ Yur’evich 1 Orr, Daniel 1 Sivakoff, David J. 1 Vershik, Anatoliĭ Moiseevich 1 Wheeler, Michael all top 5 Serials 7 Communications in Mathematical Physics 4 Electronic Journal of Probability 3 Advances in Mathematics 3 Probability Theory and Related Fields 3 Selecta Mathematica. New Series 2 Journal of Statistical Physics 2 Russian Mathematical Surveys 2 The Annals of Probability 2 Electronic Communications in Probability 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 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 Journal of Physics A: Mathematical and Theoretical 1 Probability Surveys 1 Forum of Mathematics, Sigma 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions all top 5 Fields 32 Probability theory and stochastic processes (60-XX) 28 Statistical mechanics, structure of matter (82-XX) 18 Combinatorics (05-XX) 5 Associative rings and algebras (16-XX) 3 Partial differential equations (35-XX) 2 Group theory and generalizations (20-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Quantum theory (81-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Functional analysis (46-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 38 Publications have been cited 658 times in 314 Documents Cited by ▼ Year ▼ Stochastic higher spin vertex models on the line. Zbl 1348.82055 Corwin, Ivan; Petrov, Leonid 74 2016 Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141 Borodin, Alexei; Petrov, Leonid 71 2018 Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023 Borodin, Alexei; Petrov, Leonid 59 2014 Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes. Zbl 1315.60013 Petrov, Leonid 49 2014 Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161 Borodin, Alexei; Petrov, Leonid 38 2016 Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field. Zbl 1315.60062 Petrov, Leonid 38 2015 Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 35 2015 Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 34 2015 Two-parameter family of infinite-dimensional diffusions on the Kingman simplex. Zbl 1204.60076 Petrov, L. A. 28 2009 Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010 Borodin, Alexei; Petrov, Leonid 27 2017 \(q\)-randomized Robinson-Schensted-Knuth correspondences and random polymers. Zbl 1381.60030 Matveev, Konstantin; Petrov, Leonid 23 2017 Stochastic higher spin six vertex model and \(q\)-TASEPs. Zbl 1379.82016 Orr, Daniel; Petrov, Leonid 21 2017 The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its \(q\)-analogue. Zbl 1297.05249 Petrov, Leonid 18 2014 The \(q\)-PushASEP: a New Integrable Model for Traffic in \(1+1\) dimension. Zbl 1323.82029 Corwin, Ivan; Petrov, Leonid 18 2015 Generalizations of TASEP in discrete and continuous inhomogeneous space. Zbl 1439.60093 Knizel, Alisa; Petrov, Leonid; Saenz, Axel 15 2019 Yang-Baxter field for spin Hall-Littlewood symmetric functions. Zbl 1480.60285 Bufetov, Alexey; Petrov, Leonid 14 2019 Law of large numbers for infinite random matrices over a finite field. Zbl 1335.60032 Bufetov, Alexey; Petrov, Leonid 10 2015 Inhomogeneous exponential jump model. Zbl 1412.82027 Borodin, Alexei; Petrov, Leonid 10 2018 Universality of local statistics for noncolliding random walks. Zbl 1448.60106 Gorin, Vadim; Petrov, Leonid 9 2019 Correction to: “Stochastic higher spin vertex models on the line”. Zbl 1426.82039 Corwin, Ivan; Petrov, Leonid 8 2019 \(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs. Zbl 1284.05332 Petrov, Leonid 8 2013 Yang-Baxter random fields and stochastic vertex models. Zbl 1469.05162 Bufetov, Alexey; Mucciconi, Matteo; Petrov, Leonid 7 2021 GUE corners limit of \(q\)-distributed lozenge tilings. Zbl 1386.60035 Mkrtchyan, Sevak; Petrov, Leonid 6 2017 Free fermion six vertex model: symmetric functions and random domino tilings. Zbl 1512.05390 Aggarwal, Amol; Borodin, Alexei; Petrov, Leonid; Wheeler, Michael 5 2023 PushTASEP in inhomogeneous space. Zbl 1453.82058 Petrov, Leonid 5 2020 Random walks on strict partitions. Zbl 1288.60056 Petrov, L. 5 2010 Spin \(q\)-Whittaker polynomials and deformed quantum Toda. Zbl 1504.82032 Mucciconi, Matteo; Petrov, Leonid 3 2022 The \(q\)-Hahn PushTASEP. Zbl 1473.82023 Corwin, Ivan; Matveev, Konstantin; Petrov, Leonid 3 2021 Correction to: “Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz”. Zbl 1421.82008 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 3 2019 Random strict partitions and determinantal point processes. Zbl 1226.60072 Petrov, Leonid 2 2010 Pfaffian stochastic dynamics of strict partitions. Zbl 1244.60083 Petrov, Leonid 2 2011 Parameter permutation symmetry in particle systems and random polymers. Zbl 1467.82059 Petrov, Leonid 2 2021 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 2 2018 Mapping TASEP Back in time. Zbl 1490.60281 Petrov, Leonid; Saenz, Axel 2 2022 Limit behaviour of certain random walks on strict partitions. Zbl 1196.60140 Petrov, L. A. 1 2009 Quenched central limit theorem in a corner growth setting. Zbl 1406.60040 Gromoll, H. Christian; Meckes, Mark W.; Petrov, Leonid 1 2018 Noncolliding Macdonald walks with an absorbing wall. Zbl 07612163 Petrov, Leonid 1 2022 Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions. Zbl 1471.05116 Petrov, Leonid 1 2021 Free fermion six vertex model: symmetric functions and random domino tilings. Zbl 1512.05390 Aggarwal, Amol; Borodin, Alexei; Petrov, Leonid; Wheeler, Michael 5 2023 Spin \(q\)-Whittaker polynomials and deformed quantum Toda. Zbl 1504.82032 Mucciconi, Matteo; Petrov, Leonid 3 2022 Mapping TASEP Back in time. Zbl 1490.60281 Petrov, Leonid; Saenz, Axel 2 2022 Noncolliding Macdonald walks with an absorbing wall. Zbl 07612163 Petrov, Leonid 1 2022 Yang-Baxter random fields and stochastic vertex models. Zbl 1469.05162 Bufetov, Alexey; Mucciconi, Matteo; Petrov, Leonid 7 2021 The \(q\)-Hahn PushTASEP. Zbl 1473.82023 Corwin, Ivan; Matveev, Konstantin; Petrov, Leonid 3 2021 Parameter permutation symmetry in particle systems and random polymers. Zbl 1467.82059 Petrov, Leonid 2 2021 Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions. Zbl 1471.05116 Petrov, Leonid 1 2021 PushTASEP in inhomogeneous space. Zbl 1453.82058 Petrov, Leonid 5 2020 Generalizations of TASEP in discrete and continuous inhomogeneous space. Zbl 1439.60093 Knizel, Alisa; Petrov, Leonid; Saenz, Axel 15 2019 Yang-Baxter field for spin Hall-Littlewood symmetric functions. Zbl 1480.60285 Bufetov, Alexey; Petrov, Leonid 14 2019 Universality of local statistics for noncolliding random walks. Zbl 1448.60106 Gorin, Vadim; Petrov, Leonid 9 2019 Correction to: “Stochastic higher spin vertex models on the line”. Zbl 1426.82039 Corwin, Ivan; Petrov, Leonid 8 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 3 2019 Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141 Borodin, Alexei; Petrov, Leonid 71 2018 Inhomogeneous exponential jump model. Zbl 1412.82027 Borodin, Alexei; Petrov, Leonid 10 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 2 2018 Quenched central limit theorem in a corner growth setting. Zbl 1406.60040 Gromoll, H. Christian; Meckes, Mark W.; Petrov, Leonid 1 2018 Integrable probability: stochastic vertex models and symmetric functions. Zbl 1397.82010 Borodin, Alexei; Petrov, Leonid 27 2017 \(q\)-randomized Robinson-Schensted-Knuth correspondences and random polymers. Zbl 1381.60030 Matveev, Konstantin; Petrov, Leonid 23 2017 Stochastic higher spin six vertex model and \(q\)-TASEPs. Zbl 1379.82016 Orr, Daniel; Petrov, Leonid 21 2017 GUE corners limit of \(q\)-distributed lozenge tilings. Zbl 1386.60035 Mkrtchyan, Sevak; Petrov, Leonid 6 2017 Stochastic higher spin vertex models on the line. Zbl 1348.82055 Corwin, Ivan; Petrov, Leonid 74 2016 Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161 Borodin, Alexei; Petrov, Leonid 38 2016 Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field. Zbl 1315.60062 Petrov, Leonid 38 2015 Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 35 2015 Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212 Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro 34 2015 The \(q\)-PushASEP: a New Integrable Model for Traffic in \(1+1\) dimension. Zbl 1323.82029 Corwin, Ivan; Petrov, Leonid 18 2015 Law of large numbers for infinite random matrices over a finite field. Zbl 1335.60032 Bufetov, Alexey; Petrov, Leonid 10 2015 Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023 Borodin, Alexei; Petrov, Leonid 59 2014 Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes. Zbl 1315.60013 Petrov, Leonid 49 2014 The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its \(q\)-analogue. Zbl 1297.05249 Petrov, Leonid 18 2014 \(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs. Zbl 1284.05332 Petrov, Leonid 8 2013 Pfaffian stochastic dynamics of strict partitions. Zbl 1244.60083 Petrov, Leonid 2 2011 Random walks on strict partitions. Zbl 1288.60056 Petrov, L. 5 2010 Random strict partitions and determinantal point processes. Zbl 1226.60072 Petrov, Leonid 2 2010 Two-parameter family of infinite-dimensional diffusions on the Kingman simplex. Zbl 1204.60076 Petrov, L. A. 28 2009 Limit behaviour of certain random walks on strict partitions. Zbl 1196.60140 Petrov, L. A. 1 2009 all cited Publications top 5 cited Publications all top 5 Cited by 263 Authors 31 Corwin, Ivan Z. 28 Borodin, Alexei 26 Petrov, Leonid 21 Gorin, Vadim 13 Sasamoto, Tomohiro 12 Barraquand, Guillaume 11 Bufetov, Alekseĭ Igor’evich 11 Ol’shanskiĭ, Grigoriĭ Iosifovich 10 Wheeler, Michael 9 Aggarwal, Amol 9 Johansson, Kurt 8 Dimitrov, Evgeni I. 7 Giardinà, Cristian 7 Imamura, Takashi 6 Cuenca, Cesar 6 Motegi, Kohei 6 Mucciconi, Matteo 6 Rizzolo, Douglas 6 Scrimshaw, Travis 5 Adler, Mark 5 Assiotis, Theodoros 5 Ferrari, Patrik Lino 5 Laslier, Benoît 5 Lin, Yier 5 Saenz, Axel 5 Shen, Hao 5 van Diejen, Jan Felipe 5 van Moerbeke, Pierre 5 Winkel, Matthias 4 Carinci, Gioia 4 Chhita, Sunil 4 Duits, Maurice 4 Emsiz, Erdal 4 Forman, Noah Mills 4 Ghosal, Promit 4 Koshida, Shinji 4 Redig, Frank 3 Ahn, Andrew C. 3 Bisi, Elia 3 Buciumas, Valentin 3 Colomo, Filippo 3 de Gier, Jan 3 Duse, Erik 3 Duzhin, V. S. 3 Franceschini, Chiara 3 Knizel, Alisa 3 Kuijlaars, Arno B. J. 3 Kuniba, Atsuo 3 Mangazeev, Vladimir V. 3 Matetski, Konstantin 3 Metcalfe, Anthony P. 3 Neuschel, Thorsten 3 Okado, Masato 3 Pak, Igor 3 Panova, Greta 3 Remenik, Daniel 3 Ruggiero, Matteo 3 Russkikh, Marianna 3 Rychnovsky, Mark 3 Schütz, Gunter M. 3 Seppäläinen, Timo 3 Shi, Quan 3 Shkolnikov, Mykhaylo 3 Sportiello, Andrea 3 Tsai, Li-cheng 3 van Peski, Roger 3 Vasil’ev, N. N. 3 Venker, Martin 3 Vető, Bálint 3 Wang, Dong 3 Zygouras, Nikolaos 2 Aas, Erik 2 Belitsky, Vladimir 2 Claeys, Tom 2 Dauvergne, Duncan 2 Debin, Bryan 2 Deift, Percy A. 2 Di Francesco, Philippe 2 Emrah, Elnur 2 Feng, Shui 2 Fischbacher, Christoph 2 Foda, Omar 2 Garbali, Alexandr 2 Granet, Etienne 2 Grinberg, Darij 2 Groenevelt, Wolter G. M. 2 Guitter, Emmanuel 2 Hegde, Milind 2 Janjigian, Christopher 2 Korotkikh, Sergei 2 Kuan, Jeffrey 2 Le Doussal, Pierre 2 Lee, Eunghyun 2 Matveev, Konstantin I. 2 Mkrtchyan, Sevak 2 Pal, Soumik 2 Pei, Yuchen 2 Povolotsky, A. M. 2 Pronko, Andrei G. 2 Quastel, Jeremy ...and 163 more Authors all top 5 Cited in 74 Serials 37 Communications in Mathematical Physics 18 Probability Theory and Related Fields 16 Journal of Statistical Physics 16 Electronic Journal of Probability 15 The Annals of Probability 11 Journal of Mathematical Physics 11 Journal of Physics A: Mathematical and Theoretical 10 Advances in Mathematics 10 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Selecta Mathematica. New Series 7 The Annals of Applied Probability 6 Duke Mathematical Journal 6 Journal of Combinatorial Theory. Series A 6 Transactions of the American Mathematical Society 6 Mathematical Physics, Analysis and Geometry 5 Letters in Mathematical Physics 5 Nuclear Physics. B 5 Journal of Mathematical Sciences (New York) 4 Functional Analysis and its Applications 4 Journal of Functional Analysis 4 Stochastic Processes and their Applications 4 Séminaire Lotharingien de Combinatoire 4 Probability and Mathematical Physics 3 Bulletin of the American Mathematical Society. New Series 3 Journal of Algebraic Combinatorics 3 The Electronic Journal of Combinatorics 3 Annales Henri Poincaré 3 Journal of Statistical Mechanics: Theory and Experiment 3 Algebraic Combinatorics 2 Theoretical and Mathematical Physics 2 Annales de l’Institut Fourier 2 Journal of Applied Probability 2 Journal of the London Mathematical Society. Second Series 2 Proceedings of the London Mathematical Society. Third Series 2 Advances in Applied Mathematics 2 Electronic Communications in Probability 2 Bernoulli 2 Journal of the European Mathematical Society (JEMS) 2 Probability Surveys 2 Forum of Mathematics, Pi 2 Forum of Mathematics, Sigma 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Nonlinearity 1 Problems of Information Transmission 1 Annals of the Institute of Statistical Mathematics 1 Compositio Mathematica 1 Funkcialaj Ekvacioj. Serio Internacia 1 Publications Mathématiques 1 Journal of Algebra 1 Proceedings of the American Mathematical Society 1 Statistical Science 1 Journal of the American Mathematical Society 1 International Journal of Mathematics 1 Random Structures & Algorithms 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 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Communications in Nonlinear Science and Numerical Simulation 1 Journal of High Energy Physics 1 Moscow Mathematical Journal 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Mathematics in Computer Science 1 Science China. Mathematics 1 Random Matrices: Theory and Applications 1 Dependence Modeling 1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 1 Combinatorial Theory 1 Communications of the American Mathematical Society all top 5 Cited in 37 Fields 214 Probability theory and stochastic processes (60-XX) 172 Statistical mechanics, structure of matter (82-XX) 97 Combinatorics (05-XX) 37 Quantum theory (81-XX) 27 Special functions (33-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 22 Partial differential equations (35-XX) 17 Nonassociative rings and algebras (17-XX) 17 Topological groups, Lie groups (22-XX) 15 Associative rings and algebras (16-XX) 12 Group theory and generalizations (20-XX) 9 Algebraic geometry (14-XX) 8 Dynamical systems and ergodic theory (37-XX) 8 Convex and discrete geometry (52-XX) 8 Numerical analysis (65-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Statistics (62-XX) 4 Abstract harmonic analysis (43-XX) 3 Functions of a complex variable (30-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Operations research, mathematical programming (90-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.