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Author ID: petrov.leonid Recent zbMATH articles by "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: 48 Publications since 2004, including 5 Additional arXiv Preprints
Reviewing Activity: 17 Reviews
Co-Authors: 33 Co-Authors with 34 Joint Publications
827 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

38 Publications have been cited 699 times in 338 Documents Cited by Year
Stochastic higher spin vertex models on the line. Zbl 1348.82055
Corwin, Ivan; Petrov, Leonid
76
2016
Higher spin six vertex model and symmetric rational functions. Zbl 1405.60141
Borodin, Alexei; Petrov, Leonid
73
2018
Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023
Borodin, Alexei; Petrov, Leonid
62
2014
Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes. Zbl 1315.60013
Petrov, Leonid
53
2014
Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field. Zbl 1315.60062
Petrov, Leonid
42
2015
Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161
Borodin, Alexei; Petrov, Leonid
39
2016
Two-parameter family of infinite-dimensional diffusions on the Kingman simplex. Zbl 1204.60076
Petrov, L. A.
37
2009
Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
36
2015
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
36
2015
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
25
2017
Stochastic higher spin six vertex model and \(q\)-TASEPs. Zbl 1379.82016
Orr, Daniel; Petrov, Leonid
21
2017
The \(q\)-PushASEP: a New Integrable Model for Traffic in \(1+1\) dimension. Zbl 1323.82029
Corwin, Ivan; Petrov, Leonid
19
2015
The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its \(q\)-analogue. Zbl 1297.05249
Petrov, Leonid
19
2014
Generalizations of TASEP in discrete and continuous inhomogeneous space. Zbl 1439.60093
Knizel, Alisa; Petrov, Leonid; Saenz, Axel
16
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
11
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
10
2019
\(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs. Zbl 1284.05332
Petrov, Leonid
9
2013
Correction to: “Stochastic higher spin vertex models on the line”. Zbl 1426.82039
Corwin, Ivan; Petrov, Leonid
8
2019
Yang-Baxter random fields and stochastic vertex models. Zbl 1469.05162
Bufetov, Alexey; Mucciconi, Matteo; Petrov, Leonid
7
2021
Free fermion six vertex model: symmetric functions and random domino tilings. Zbl 1512.05390
Aggarwal, Amol; Borodin, Alexei; Petrov, Leonid; Wheeler, Michael
6
2023
GUE corners limit of \(q\)-distributed lozenge tilings. Zbl 1386.60035
Mkrtchyan, Sevak; Petrov, Leonid
6
2017
Random walks on strict partitions. Zbl 1288.60056
Petrov, L.
5
2010
PushTASEP in inhomogeneous space. Zbl 1453.82058
Petrov, Leonid
5
2020
Spin \(q\)-Whittaker polynomials and deformed quantum Toda. Zbl 1504.82032
Mucciconi, Matteo; Petrov, Leonid
4
2022
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
The \(q\)-Hahn PushTASEP. Zbl 1473.82023
Corwin, Ivan; Matveev, Konstantin; Petrov, Leonid
3
2021
Mapping TASEP Back in time. Zbl 1490.60281
Petrov, Leonid; Saenz, Axel
3
2022
Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions. Zbl 1471.05116
Petrov, Leonid
3
2021
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
Quenched central limit theorem in a corner growth setting. Zbl 1406.60040
Gromoll, H. Christian; Meckes, Mark W.; Petrov, Leonid
1
2018
Limit behaviour of certain random walks on strict partitions. Zbl 1196.60140
Petrov, L. A.
1
2009
Noncolliding Macdonald walks with an absorbing wall. Zbl 07612163
Petrov, Leonid
1
2022
Free fermion six vertex model: symmetric functions and random domino tilings. Zbl 1512.05390
Aggarwal, Amol; Borodin, Alexei; Petrov, Leonid; Wheeler, Michael
6
2023
Spin \(q\)-Whittaker polynomials and deformed quantum Toda. Zbl 1504.82032
Mucciconi, Matteo; Petrov, Leonid
4
2022
Mapping TASEP Back in time. Zbl 1490.60281
Petrov, Leonid; Saenz, Axel
3
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
Refined Cauchy identity for spin Hall-Littlewood symmetric rational functions. Zbl 1471.05116
Petrov, Leonid
3
2021
Parameter permutation symmetry in particle systems and random polymers. Zbl 1467.82059
Petrov, Leonid
2
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
16
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
10
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
73
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
25
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
76
2016
Nearest neighbor Markov dynamics on Macdonald processes. Zbl 1356.60161
Borodin, Alexei; Petrov, Leonid
39
2016
Asymptotics of uniformly random lozenge tilings of polygons. Gaussian free field. Zbl 1315.60062
Petrov, Leonid
42
2015
Spectral theory for the \(q\)-boson particle system. Zbl 1314.05212
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
36
2015
Spectral theory for interacting particle systems solvable by coordinate Bethe ansatz. Zbl 1330.82017
Borodin, Alexei; Corwin, Ivan; Petrov, Leonid; Sasamoto, Tomohiro
36
2015
The \(q\)-PushASEP: a New Integrable Model for Traffic in \(1+1\) dimension. Zbl 1323.82029
Corwin, Ivan; Petrov, Leonid
19
2015
Law of large numbers for infinite random matrices over a finite field. Zbl 1335.60032
Bufetov, Alexey; Petrov, Leonid
11
2015
Integrable probability: from representation theory to MacDonald processes. Zbl 1295.82023
Borodin, Alexei; Petrov, Leonid
62
2014
Asymptotics of random lozenge tilings via Gelfand-Tsetlin schemes. Zbl 1315.60013
Petrov, Leonid
53
2014
The boundary of the Gelfand-Tsetlin graph: new proof of Borodin-Olshanski’s formula, and its \(q\)-analogue. Zbl 1297.05249
Petrov, Leonid
19
2014
\(\mathfrak{sl}(2)\) operators and Markov processes on branching graphs. Zbl 1284.05332
Petrov, Leonid
9
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.
37
2009
Limit behaviour of certain random walks on strict partitions. Zbl 1196.60140
Petrov, L. A.
1
2009
all top 5

Cited by 277 Authors

32 Corwin, Ivan Z.
29 Borodin, Alexei
27 Petrov, Leonid
21 Gorin, Vadim
13 Sasamoto, Tomohiro
12 Barraquand, Guillaume
12 Bufetov, Alekseĭ Igor’evich
11 Ol’shanskiĭ, Grigoriĭ Iosifovich
10 Rizzolo, Douglas
10 Wheeler, Michael
9 Aggarwal, Amol
9 Johansson, Kurt
9 Winkel, Matthias
8 Dimitrov, Evgeni I.
8 Forman, Noah Mills
7 Giardinà, Cristian
7 Imamura, Takashi
7 Motegi, Kohei
6 Cuenca, Cesar
6 Mucciconi, Matteo
6 Pal, Soumik
6 Saenz, Axel
6 Scrimshaw, Travis
5 Adler, Mark
5 Assiotis, Theodoros
5 Chhita, Sunil
5 Ferrari, Patrik Lino
5 Laslier, Benoît
5 Lin, Yier
5 Shen, Hao
5 van Diejen, Jan Felipe
5 van Moerbeke, Pierre
4 Carinci, Gioia
4 Duits, Maurice
4 Duzhin, Vasilii
4 Emsiz, Erdal
4 Ghosal, Promit
4 Koshida, Shinji
4 Redig, Frank
4 Remenik, Daniel
4 Vasil’ev, N. N.
3 Ahn, Andrew C.
3 Bisi, Elia
3 Buciumas, Valentin
3 Colomo, Filippo
3 de Gier, Jan
3 Duse, Erik
3 Feng, Shui
3 Franceschini, Chiara
3 Knizel, Alisa
3 Korotkikh, Sergei
3 Kuijlaars, Arno B. J.
3 Kuniba, Atsuo
3 Le Doussal, Pierre
3 Mangazeev, Vladimir V.
3 Matetski, Konstantin
3 Metcalfe, Anthony P.
3 Neuschel, Thorsten
3 Okado, Masato
3 Pak, Igor
3 Panova, Greta
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 Venker, Martin
3 Vető, Bálint
3 Wang, Dong
3 Zygouras, Nikolaos
2 Aas, Erik
2 Ayyer, Arvind
2 Baik, Jinho
2 Belitsky, Vladimir
2 Charlier, Christophe
2 Claeys, Tom
2 Dauvergne, Duncan
2 Debin, Bryan
2 Deift, Percy A.
2 Di Francesco, Philippe
2 Dubail, Jérôme
2 Emrah, Elnur
2 Fischbacher, Christoph
2 Foda, Omar
2 Garbali, Alexandr
2 Gavrilova, Svetlana
2 Granet, Etienne
2 Grinberg, Darij
2 Groenevelt, Wolter G. M.
2 Guionnet, Alice
2 Guitter, Emmanuel
2 Hegde, Milind
2 Huang, Jiaoyang
2 Janjigian, Christopher
2 Kuan, Jeffrey
...and 177 more Authors
all top 5

Cited in 79 Serials

38 Communications in Mathematical Physics
18 Probability Theory and Related Fields
18 Electronic Journal of Probability
16 Journal of Statistical Physics
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 Selecta Mathematica. New Series
10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
9 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
6 Journal of Statistical Mechanics: Theory and Experiment
5 Letters in Mathematical Physics
5 Nuclear Physics. B
5 Functional Analysis and its Applications
5 Journal of Functional Analysis
5 Journal of Mathematical Sciences (New York)
4 Stochastic Processes and their Applications
4 Electronic Communications in Probability
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 Algebraic Combinatorics
2 Communications on Pure and Applied Mathematics
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 Random Structures & Algorithms
2 Bernoulli
2 Journal of the European Mathematical Society (JEMS)
2 Probability Surveys
2 Forum of Mathematics, Pi
2 Forum of Mathematics, Sigma
1 Israel Journal of Mathematics
1 Nonlinearity
1 Problems of Information Transmission
1 Journal of Geometry and Physics
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 Studies in Applied Mathematics
1 Statistical Science
1 Journal of the American Mathematical Society
1 International Journal of Mathematics
1 Geometric and Functional Analysis. GAFA
1 Annals of Physics
1 Computational Statistics and Data Analysis
1 Journal of Knot Theory and its Ramifications
1 Potential Analysis
1 Annales Mathématiques Blaise Pascal
1 Sbornik: Mathematics
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 Transactions of the London Mathematical Society
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 38 Fields

230 Probability theory and stochastic processes (60-XX)
180 Statistical mechanics, structure of matter (82-XX)
105 Combinatorics (05-XX)
38 Quantum theory (81-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
29 Special functions (33-XX)
22 Partial differential equations (35-XX)
18 Nonassociative rings and algebras (17-XX)
17 Topological groups, Lie groups (22-XX)
16 Associative rings and algebras (16-XX)
12 Group theory and generalizations (20-XX)
10 Algebraic geometry (14-XX)
9 Convex and discrete geometry (52-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Numerical analysis (65-XX)
7 Harmonic analysis on Euclidean spaces (42-XX)
5 Statistics (62-XX)
4 Abstract harmonic analysis (43-XX)
4 Operator theory (47-XX)
3 Functions of a complex variable (30-XX)
3 Functional analysis (46-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 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 Approximations and expansions (41-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

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