All publications by FRG participants since January 2017

(tag NSF_FRG = acknowledges the FRG grant support)

Drawing on the whiteboard
  1. [July 18, 2019]     1907.08108 [math-ph]

    Andrei Martínez-Finkelshtein, Guilherme L. F. Silva, “Spectral curves, variational problems, and the hermitian matrix model with external source” (arXiv)
  2. [June 19, 2019]     1906.07926 [math-ph]

    Alexander Moll, “Exact Bohr-Sommerfeld Conditions for the Quantum Periodic Benjamin-Ono Equation” (arXiv)
  3. [June 3, 2019]     1906.01053 [math.PR]

    Kurt Johansson, Mustazee Rahman, “Multi-time distribution in discrete polynuclear growth” (arXiv)
  4. [May 31, 2019]   NSF_FRG   1905.13691 [math.PR]

    Evgeni Dimitrov, Xuan Wu, “KMT coupling for random walk bridges” (arXiv)
  5. [May 30, 2019]     1905.13207 [math.PR]

    Nina Holden, Xin Sun, “Convergence of uniform triangulations under the Cardy embedding” (arXiv)
  6. [May 27, 2019]     1905.11310 [math.PR]

    Yu Gu, Jeremy Quastel, Li-Cheng Tsai, “Moments of the 2D SHE at criticality” (arXiv)
  7. [May 27, 2019]     1905.11155 [math.PR]

    Yier Lin, “KPZ equation limit of stochastic higher spin six vertex model” (arXiv)
  8. [May 24, 2019]   NSF_FRG   1905.10280 [math.PR]

    Guillaume Barraquand, Mark Rychnovsky, “Large Deviations For Sticky Brownian Motions” (arXiv)
  9. [May 16, 2019]     1905.06940 [math.PR]

    Christophe Garban, Nina Holden, Avelio Sepúlveda, Xin Sun, “Liouville dynamical percolation” (arXiv)
  10. [May 16, 2019]   NSF_FRG   1905.06815 [math.PR]

    Alexey Bufetov, Matteo Mucciconi, Leonid Petrov, “Yang-Baxter random fields and stochastic vertex models” (arXiv)
  11. [May 16, 2019]     1905.06757 [math.PR]

    Ewain Gwynne, Nina Holden, Xin Sun, “Joint scaling limit of site percolation on random triangulations in the metric and peanosphere sense” (arXiv)
  12. [May 14, 2019]     1905.05340 [math.ST]

    Promit Ghosal, Bodhisattva Sen, “Multivariate Ranks and Quantiles using Optimal Transportation and Applications to Goodness-of-fit Testing” (arXiv)
  13. [May 12, 2019]   NSF_FRG   1905.04692 [math.PR]

    Alexei Borodin, Alexey Bufetov, “Color-position symmetry in interacting particle systems” (arXiv)
  14. [May 8, 2019]     1905.03317 [math.PR]

    Benjamin Landon, Philippe Sosoe, “Fluctuations of the overlap at low temperature in the 2-spin spherical SK model” (arXiv)
  15. [May 8, 2019]   NSF_FRG   1905.02987 [math.PR]

    Zhipeng Liu, Axel Saenz, Dong Wang, “Integral formulas of ASEP and $q$-TAZRP on a Ring” (arXiv)
  16. [May 7, 2019]     1905.02338 [math.PR]

    Evgeni Dimitrov, Alisa Knizel, “Asymptotics of discrete $β$-corners processes via two-level discrete loop equations” (arXiv)
  17. [May 1, 2019]     1905.00380 [math.PR]

    Julien Dubédat, Hugo Falconet, Ewain Gwynne, Joshua Pfeffer, Xin Sun, “Weak LQG metrics and Liouville first passage percolation” (arXiv)
  18. [April 24, 2019]     1904.10909 [math.PR]

    Julien Dubédat, Hao Shen, “Stochastic Ricci Flow on Compact Surfaces” (arXiv)
  19. [April 15, 2019]   NSF_FRG   1904.06804 [math-ph]

    Alexei Borodin, Michael Wheeler, “Nonsymmetric Macdonald polynomials via integrable vertex models” (arXiv)
  20. [April 5, 2019]   NSF_FRG   1904.03319 [math-ph]

    Axel Saenz, “The KPZ Universality Class and Related Topics” (arXiv)
  21. [March 31, 2019]   NSF_FRG   1904.00334 [math.PR]

    Ivan Corwin, Hao Shen, “Some recent progress in singular stochastic PDEs” (arXiv)
  22. [March 22, 2019]   NSF_FRG   1903.09615 [math.PR]

    Promit Ghosal, Axel Saenz, Ethan C. Zell, “Limiting speed of a second class particle in ASEP” (arXiv)
  23. [March 22, 2019]     1903.09592 [math.PR]

    Zhou Fan, Yi Sun, Zhichao Wang, “Principal components in linear mixed models with general bulk” (arXiv)
  24. [March 14, 2019]     1903.06159 [math-ph]

    Anton Dzhamay, Alisa Knizel, “$q$-Racah ensemble and $q$-P$\left(E_7^{(1)}/A_{1}^{(1)}\right)$ Discrete Painléve equation” (arXiv)
  25. [March 3, 2019]     1903.00960 [math.CA]

    Andrew F. Celsus, Guilherme L. F. Silva, “Supercritical Regime for the Kissing Polynomials” (arXiv)
  26. [February 28, 2019]     1902.10867 [math.PR]

    Amol Aggarwal, “Limit Shapes and Local Statistics for the Stochastic Six-Vertex Model” (arXiv)
  27. [January 27, 2019]     1901.09449 [math.PR]

    Shalin Parekh, “Positive random walks and an identity for half-space SPDEs” (arXiv)
  28. [January 13, 2019]     1901.04089 [math-ph]

    Alexander Moll, “Finite Gap Conditions and Small Dispersion Asymptotics for the Classical Periodic Benjamin-Ono Equation” (arXiv)
  29. [January 3, 2019]     1901.00882 [math.PR]

    Ajay Chandra, Dirk Erhard, Hao Shen, “Local solution to the multi-layer KPZ equation” (arXiv)
  30. [January 3, 2019]     1901.00764 [math.PR]

    Yier Lin, “Markov Duality for Stochastic Six Vertex Model” (arXiv)
  31. [December 25, 2018]     1812.10022 [math.PR]

    Benjamin Landon, Patrick Lopatto, Jake Marcinek, “Comparison theorem for some extremal eigenvalue statistics” (arXiv)
  32. [December 16, 2018]   NSF_FRG   1812.06532 [math.PR]

    Vadim Gorin, Yi Sun, “Gaussian fluctuations for products of random matrices” (arXiv)
  33. [December 16, 2018]   NSF_FRG   1812.06523 [math.RT]

    Cesar Cuenca, Vadim Gorin, “q-deformed Character Theory for Infinite-Dimensional Symplectic and Orthogonal Groups” (arXiv)
  34. [December 10, 2018]     1812.03847 [math.PR]

    Amol Aggarwal, “Arctic Boundaries of the Ice Model on Three-Bundle Domains” (arXiv)
  35. [December 7, 2018]     1812.03127 [math.PR]

    Russell Lyons, Yuval Peres, Xin Sun, “Induced graphs of uniform spanning forests” (arXiv)
  36. [November 15, 2018]   NSF_FRG   1811.06475 [math.PR]

    Ivan Corwin, Konstantin Matveev, Leonid Petrov, “The q-Hahn PushTASEP” (arXiv)
  37. [November 14, 2018]     1811.05915 [math.PR]

    Benjamin Landon, Philippe Sosoe, “Applications of mesoscopic CLTs in random matrix theory” (arXiv)
  38. [October 16, 2018]   NSF_FRG   1810.07129 [math.PR]

    Ivan Corwin, Promit Ghosal, “KPZ equation tails for general initial data” (arXiv)
  39. [October 11, 2018]     1810.05227 [math.GT]

    Amol Aggarwal, “Large Genus Asymptotics for Siegel-Veech Constants” (arXiv)
  40. [October 9, 2018]   NSF_FRG   1810.04299 [math.PR]

    Amol Aggarwal, Alexei Borodin, Alexey Bufetov, “Stochasticization of Solutions to the Yang-Baxter Equation” (arXiv)
  41. [September 18, 2018]     1809.06804 [math.PR]

    Gopal Goel, Andrew Ahn, “Discrete Derivative Asymptotics of the $β$-Hermite Eigenvalues” (arXiv)
  42. [September 10, 2018]     1809.03410 [math.PR]

    Li-Cheng Tsai, “Exact lower tail large deviations of the KPZ equation” (arXiv)
  43. [September 7, 2018]   NSF_FRG   1809.02698 [math.PR]

    Andrew Ahn, “Global Universality of Macdonald Plane Partitions” (arXiv)
  44. [August 29, 2018]   NSF_FRG   1808.09855 [math.PR]

    Alisa Knizel, Leonid Petrov, Axel Saenz, “Generalizations of TASEP in discrete and continuous inhomogeneous space” (arXiv)
  45. [August 28, 2018]     1808.09429 [math.PR]

    Konstantin Matetski, “Martingale-driven approximations of singular stochastic PDEs” (arXiv)
  46. [August 19, 2018]   NSF_FRG   1808.06179 [math.CO]

    Cesar Cuenca, Grigori Olshanski, “Elements of the q-Askey scheme in the algebra of symmetric functions” (arXiv)
  47. [August 13, 2018]     1808.04353 [math.PR]

    Promit Ghosal, “Moments of the SHE under delta initial measure” (arXiv)
  48. [August 8, 2018]     1808.02594 [math.PR]

    Ajay Chandra, Martin Hairer, Hao Shen, “The dynamical sine-Gordon model in the full subcritical regime” (arXiv)
  49. [August 7, 2018]     1808.02419 [math-ph]

    Jinho Baik, Thomas Bothner, “The largest real eigenvalue in the real Ginibre ensemble and its relation to the Zakharov-Shabat system” (arXiv)
  50. [August 6, 2018]   NSF_FRG   1808.01866 [math.PR]

    Alexei Borodin, Michael Wheeler, “Coloured stochastic vertex models and their spectral theory” (arXiv)
  51. [July 16, 2018]   NSF_FRG   1807.06134 [math.PR]

    Cesar Cuenca, “Universal Behavior of the Corners of Orbital Beta Processes” (arXiv)
  52. [July 16, 2018]     1807.06034 [math.CO]

    Brice Huang, Mustazee Rahman, “On the Local Geometry of Graphs in Terms of Their Spectra” (arXiv)
  53. [July 12, 2018]   NSF_FRG   1807.04678 [math.PR]

    Hao Shen, Li-Cheng Tsai, “Stochastic Telegraph Equation Limit for the Stochastic Six Vertex Model” (arXiv)
  54. [July 5, 2018]   NSF_FRG   1807.01824 [math.PR]

    Guillaume Barraquand, Mark Rychnovsky, “Tracy-Widom asymptotics for a river delta model” (arXiv)
  55. [July 4, 2018]     1807.01684 [math.PR]

    Olivier Bernardi, Nina Holden, Xin Sun, “Percolation on triangulations: a bijective path to Liouville quantum gravity” (arXiv)
  56. [June 28, 2018]   NSF_FRG   1806.10855 [math-ph]

    Alexei Borodin, Vadim Gorin, Eugene Strahov, “Product matrix processes as limits of random plane partitions” (arXiv)
  57. [June 27, 2018]   NSF_FRG   1806.10542 [math.PR]

    Ivan Corwin, “Comments on David Aldous and Persi Diaconis’ “Longest increasing subsequences: from patience sorting to the Baik-Deift-Johansson theorem”” (arXiv)
  58. [June 27, 2018]   NSF_FRG   1806.10467 [math-ph]

    Alexei Borodin, Fabio Lucio Toninelli, “Two-dimensional Anisotropic KPZ growth and limit shapes” (arXiv)
  59. [June 25, 2018]   NSF_FRG   1806.09682 [math.PR]

    Ivan Corwin, Li-Cheng Tsai, “SPDE Limit of Weakly Inhomogeneous ASEP” (arXiv)
  60. [June 25, 2018]     1806.09529 [math.ST]

    Zhou Fan, Iain M. Johnstone, Yi Sun, “Spiked covariances and principal components analysis in high-dimensional random effects models” (arXiv)
  61. [June 19, 2018]     1806.07454 [math.PR]

    Sergei Korotkikh, “Transition functions of diffusion processes with the Jack parameter on the Thoma simplex” (arXiv)
  62. [June 19, 2018]     1806.07363 [math.PR]

    Amol Aggarwal, Patrick Lopatto, Horng-Tzer Yau, “GOE Statistics for Levy Matrices” (arXiv)
  63. [May 15, 2018]     1805.05630 [math.PR]

    Jinho Baik, Ji Oon Lee, Hao Wu, “Ferromagnetic to paramagnetic transition in spherical spin glass” (arXiv)
  64. [May 13, 2018]     1805.04884 [math.RT]

    Jeffrey Kuan, Keke Zhang, “Explicit Central Elements of $U_q(gl_n)$” (arXiv)
  65. [May 4, 2018]     1805.01748 [math.CV]

    Andrei Martínez-Finkelshtein, Guilherme Silva, “Critical measures for vector energy: asymptotics of non-diagonal multiple orthogonal polynomials for a cubic weight” (arXiv)
  66. [May 2, 2018]     1805.00864 [math.PR]

    Christophe Garban, Nina Holden, Avelio Sepúlveda, Xin Sun, “Negative moments for Gaussian multiplicative chaos on fractal sets” (arXiv)
  67. [April 25, 2018]   NSF_FRG   1804.09815 [math.PR]

    Xuan Wu, “Intermediate Disorder regime for half-space directed polymers” (arXiv)
  68. [April 19, 2018]     1804.07286 [math.PR]

    Nina Holden, Xinyi Li, Xin Sun, “Natural parametrization of percolation interface and pivotal points” (arXiv)
  69. [April 16, 2018]   NSF_FRG   1804.05721 [math.PR]

    Ivan Corwin, “Exactly solving the KPZ equation” (arXiv)
  70. [April 15, 2018]     1804.05431 [math.AG]

    Amol Aggarwal, “Large Genus Asymptotics for Volumes of Strata of Abelian Differentials” (arXiv)
  71. [April 11, 2018]   NSF_FRG   1804.04222 [math.PR]

    H. Christian Gromoll, Mark W. Meckes, Leonid Petrov, “Quenched Central Limit Theorem in a Corner Growth Setting” (arXiv)
  72. [March 28, 2018]     1803.10613 [math.PR]

    Nina Holden, Gregory F. Lawler, Xinyi Li, Xin Sun, “Minkowski content of Brownian cut points” (arXiv)
  73. [March 24, 2018]   NSF_FRG   1803.09137 [math.PR]

    Alexei Borodin, Vadim Gorin, “A stochastic telegraph equation from the six-vertex model” (arXiv)
  74. [March 21, 2018]   NSF_FRG   1803.08120 [math.PR]

    Ivan Corwin, Promit Ghosal, Hao Shen, Li-Cheng Tsai, “Stochastic PDE Limit of the Six Vertex Model” (arXiv)
  75. [March 15, 2018]   NSF_FRG   1803.05887 [cond-mat.stat-mech]

    Ivan Corwin, Promit Ghosal, Alexandre Krajenbrink, Pierre Le Doussal, Li-Cheng Tsai, “Coulomb-gas electrostatics controls large fluctuations of the KPZ equation” (arXiv)
  76. [February 22, 2018]   NSF_FRG   1802.08210 [math.PR]

    Guillaume Barraquand, Alexei Borodin, Ivan Corwin, “Half-space Macdonald processes” (arXiv)
  77. [February 9, 2018]   NSF_FRG   1802.03273 [math.PR]

    Ivan Corwin, Promit Ghosal, “Lower tail of the KPZ equation” (arXiv)
  78. [January 28, 2018]     1801.09164 [math.PR]

    Yu Gu, Li-Cheng Tsai, “Another look into the Wong-Zakai Theorem for Stochastic Heat Equation” (arXiv)
  79. [January 19, 2018]     1801.06570 [math.ST]

    Promit Ghosal, Sumit Mukherjee, “Joint estimation of parameters in Ising model” (arXiv)
  80. [January 18, 2018]     1801.06143 [math.PR]

    Jeremy Quastel, Mustazee Rahman, “TASEP fluctuations with soft-shock initial data” (arXiv)
  81. [January 14, 2018]     1801.04596 [math.PR]

    Hao Shen, “Stochastic quantization of an Abelian gauge theory” (arXiv)
  82. [January 8, 2018]   NSF_FRG   1801.02574 [math.PR]

    Vadim Gorin, Sasha Sodin, “The KPZ equation and moments of random matrices” (arXiv)
  83. [January 8, 2018]     1801.02313 [math.PR]

    Jeffrey Kuan, “Probability distributions of multi-species q-TAZRP and ASEP as double cosets of parabolic subgroups” (arXiv)
  84. [December 28, 2017]   NSF_FRG   1712.09925 [math.PR]

    Alexey Bufetov, Vadim Gorin, “Fourier transform on high-dimensional unitary groups with applications to random tilings” (arXiv)
  85. [December 21, 2017]     1712.08014 [math-ph]

    Cesar Cuenca, “Interpolation Macdonald operators at infinity” (arXiv)
  86. [December 13, 2017]   NSF_FRG   1712.04584 [math.PR]

    Alexey Bufetov, Leonid Petrov, “Yang-Baxter field for spin Hall-Littlewood symmetric functions” (arXiv)
  87. [December 11, 2017]     1712.03936 [math.PR]

    Jiaoyang Huang, Benjamin Landon, Horng-Tzer Yau, “Transition from Tracy-Widom to Gaussian fluctuations of extremal eigenvalues of sparse Erdős-Rényi graphs” (arXiv)
  88. [December 11, 2017]     1712.03881 [math.PR]

    Benjamin Landon, Horng-Tzer Yau, “Edge statistics of Dyson Brownian motion” (arXiv)
  89. [November 18, 2017]     1711.06939 [math.RT]

    Konstantin Matveev, “Macdonald-positive specializations of the algebra of symmetric functions: Proof of the Kerov conjecture” (arXiv)
  90. [November 17, 2017]     1711.06364 [math.PR]

    Jinho Baik, Ji Oon Lee, “Free energy of bipartite spherical Sherrington–Kirkpatrick model” (arXiv)
  91. [November 14, 2017]     1711.05297 [math.PR]

    Shalin Parekh, “The KPZ Limit of ASEP with Boundary” (arXiv)
  92. [November 2, 2017]     1711.00723 [math.PR]

    Ewain Gwynne, Nina Holden, Xin Sun, “A mating-of-trees approach to graph distances in random planar maps” (arXiv)
  93. [October 9, 2017]   NSF_FRG   1710.03284 [math.PR]

    Jinho Baik, Zhipeng Liu, “Multi-point distribution of periodic TASEP” (arXiv)
  94. [October 6, 2017]   NSF_FRG   1710.02323 [math.PR]

    Patrik L. Ferrari, Peter Nejjar, Promit Ghosal, “Limit law of a second class particle in TASEP with non-random initial condition” (arXiv)
  95. [October 4, 2017]     1710.01709 [math.PR]

    Evgeni Dimitrov, Alisa Knizel, “Log-gases on a quadratic lattice via discrete loop equations and q-boxed plane partitions” (arXiv)
  96. [September 30, 2017]     1710.00240 [math.PR]

    Roger Van Peski, “Spectral distributions of periodic random matrix ensembles” (arXiv)
  97. [August 23, 2017]     1708.07052 [math.PR]

    Stefano Olla, Li-Cheng Tsai, “Exceedingly Large Deviations of the Totally Asymmetric Exclusion Process” (arXiv)
  98. [August 19, 2017]   NSF_FRG   1708.05806 [math.PR]

    Michael Damron, Leonid Petrov, David Sivakoff, “Coarsening model on $\mathbb{Z}^d$ with biased zero-energy flips and an exponential large deviation bound for ASEP” (arXiv)
  99. [August 8, 2017]     1708.02399 [math.CO]

    Steven J. Miller, Carsten Peterson, Carsten Sprunger, Roger Van Peski, “The bidirectional ballot polytope” (arXiv)
  100. [July 17, 2017]     1707.05386 [math.PR]

    Wei-Kuo Chen, David Gamarnik, Dmitry Panchenko, Mustazee Rahman, “Suboptimality of local algorithms for a class of max-cut problems” (arXiv)
  101. [July 6, 2017]   NSF_FRG   1707.01923 [math.PR]

    Jinho Baik, Guillaume Barraquand, Ivan Corwin, Toufic Suidan, “Facilitated exclusion process” (arXiv)
  102. [July 4, 2017]     1707.01084 [math.CA]

    Andrew Ahn, William Clark, Shahaf Nitzan, Joseph Sullivan, “Density of Gabor Systems Via the Short Time Fourier Transform” (arXiv)
  103. [June 22, 2017]   NSF_FRG   1706.07393 [math.PR]

    Vadim Gorin, Adam W. Marcus, “Crystallization of random matrix orbits” (arXiv)
  104. [May 29, 2017]     1705.10017 [math.PR]

    Amir Dembo, Li-Cheng Tsai, “The Criticality of a Randomly-Driven Front” (arXiv)
  105. [May 19, 2017]     1705.07169 [math.PR]

    Alexey Bufetov, Konstantin Matveev, “Hall-Littlewood RSK field” (arXiv)
  106. [May 16, 2017]     1705.05859 [math.PR]

    Promit Ghosal, “Correlation functions of the Pfaffian Schur process using Macdonald difference operators” (arXiv)
  107. [May 10, 2017]     1705.03576 [math.PR]

    Russel Lyons, Yuval Peres, Xin Sun, “Occupation measure of random walks and wired spanning forests in balls of Cayley graphs” (arXiv)
  108. [May 10, 2017]     1705.03573 [math.PR]

    Yiting Li, Xin Sun, Samuel S. Watson, “Schnyder woods, SLE(16), and Liouville quantum gravity” (arXiv)
  109. [May 4, 2017]     1705.01980 [math.PR]

    Alexei Borodin, Ivan Corwin, “Dynamic ASEP, duality and continuous -Hermite polynomials” (arXiv)
  110. [April 14, 2017]     1704.04309 [math.PR]

    Guillaume Barraquand, Alexei Borodin, Ivan Corwin, Michael Wheeler, “Stochastic six-vertex model in a half-quadrant and half-line open ASEP” (arXiv)
  111. [April 8, 2017]     1704.02499 [math-ph]

    Amol Aggarwal, “Dynamical Stochastic Higher Spin Vertex Models” (arXiv)
  112. [April 8, 2017]     1704.02430 [math.RT]

    Cesar Cuenca, “Pieri Integral Formula and Asymptotics of Jack Unitary Characters” (arXiv)
  113. [April 8, 2017]     1704.02429 [math.RT]

    Cesar Cuenca, “Asymptotic Formulas for Macdonald Polynomials and the boundary of the -Gelfand-Tsetlin graph” (arXiv)
  114. [March 22, 2017]     1703.07503 [math.PR]

    Sevak Mkrtchyan, Leonid Petrov, “GUE corners limit of q-distributed lozenge tilings” (arXiv)
  115. [March 21, 2017]     1703.07180 [math.PR]

    Ivan Corwin, Evgeni Dimitrov, “Transversal fluctuations of the ASEP, stochastic six vertex model, and Hall-Littlewood Gibbsian line ensembles” (arXiv)
  116. [March 10, 2017]     1703.03857 [math.PR]

    Alexei Borodin, Leonid Petrov, “Inhomogeneous exponential jump model” (arXiv)
  117. [February 25, 2017]     1702.07895 [math.PR]

    Vadim Gorin, Mustazee Rahman, “Random sorting networks: local statistics via random matrix laws” (arXiv)
  118. [February 7, 2017]     1702.02043 [math.PR]

    Li-Cheng Tsai, “Stationary Distributions of the Atlas Model” (arXiv)
  119. [January 25, 2017]     1701.07308 [math.PR]

    Promit Ghosal, “Hall-Littlewood-PushTASEP and its KPZ limit” (arXiv)
  120. [January 24, 2017]     1701.07060 [math.RT]

    Cesar Cuenca, “BC Type -measures and Determinantal Point Processes” (arXiv)
  121. [January 23, 2017]     1701.06292 [math.CO]

    Alexei Borodin, Michael Wheeler, “Spin -Whittaker polynomials” (arXiv)
  122. [January 18, 2017]     1701.05239 [math-ph]

    Alexei Borodin, “Symmetric elliptic functions, IRF models, and dynamic exclusion processes” (arXiv)
  123. [January 16, 2017]     1701.04468 [math.PR]

    Jeffrey Kuan, “An algebraic construction of duality functions for the stochastic vertex model and its degenerations” (arXiv)
  124. [August 10, 2016]   NSF_FRG   1608.03243 [math.PR]

    Vadim Gorin, Leonid Petrov, “Universality of local statistics for noncolliding random walks” (arXiv)