Zhan Shi

Zhan Shi's AcademicInfluence.com Rankings

Zhan Shi

Mathematics

#8396

World Rank

#11413

Historical Rank

Probability Theory

#161

World Rank

#191

Historical Rank

Measure Theory

#4013

World Rank

#4728

Historical Rank

mathematics Degrees

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Mathematics

Zhan Shi's Degrees

PhD Mathematics University of California, Berkeley
Bachelors Mathematics Peking University

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Zhan Shi's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees (2007) (229)
A Ray-Knight theorem for symmetric Markov processes (2000) (111)
The Seneta–Heyde scaling for the branching random walk (2011) (86)
Brownian Sheet and Capacity (1999) (68)
Asymptotics for the survival probability in a killed branching random walk (2008) (59)
The limits of Sinai's simple random walk in random environment (1998) (57)
Annealed deviations of random walk in random scenery (2004) (56)
The first exit time of Brownian motion from a parabolic domain (2002) (51)
Chung's law for integrated brownian motion (1998) (48)
Weak convergence for the minimal position in a branching random walk: A simple proof (2010) (48)
Small Deviations for Some Multi-Parameter Gaussian Processes (2001) (47)
Branching random walks (2015) (45)
A subdiffusive behaviour of recurrent random walk in random environment on a regular tree (2006) (45)
Many visits to a single site by a transient random walk in random environment (2002) (42)
Some asymptotic properties of the local time of the uniform empirical process (1999) (40)
The most visited sites of symmetric stable processes (2000) (34)
Almost sure convergence for stochastically biased random walks on trees (2010) (34)
Rates of convergence of diffusions with drifted Brownian potentials (1999) (34)
An embedding for the Kesten-Spitzer random walk in random scenery (1998) (32)
Small ball estimates for Brownian motion under a weighted sup-norm (2000) (31)
A local time curiosity in random environment (1998) (30)
Fast sets and points for fractional Brownian motion (2000) (28)
Boundary crossings and the distribution function of the maximum of Brownian sheet (2000) (26)
The Local time of Simple Random Walk in Random Environment (1998) (26)
Large Deviations for the Branching Brownian Motion in Presence of Selection or Coalescence (2016) (25)
Evaluating the small deviation probabilities for subordinated Lévy processes (2004) (25)
Moderate deviations for diffusions with Brownian potentials (2004) (25)
The problem of the most visited site in random environment (2000) (24)
Slow movement of random walk in random environment on a regular tree (2006) (24)
The Csörgo-Révész modulus of non-differentiability of iterated Brownian motion (1995) (23)
Valleys and the Maximum Local Time for Random Walk in Random Environment (2005) (22)
The infinite valley for a recurrent random walk in random environment (2007) (21)
The most visited sites of biased random walks on trees (2015) (21)
Small ball probabilities for a Wiener process under weighted sup-norms, with an application to the supremum of bessel local times (1996) (21)
Extreme lengths in Brownian and Bessel excursions (1997) (20)
Large deviations for the rightmost position in a branching Brownian motion (2016) (19)
Small Deviations of Riemann‐Liouville Processes In lq Spaces With Respect To Fractal Measures (2006) (19)
Windings of Brownian motion and random walks in the plane (1998) (19)
Slower deviations of the branching Brownian motion and of branching random walks (2017) (17)
Biased Random Walks on Galton–Watson Trees (2015) (16)
The slow regime of randomly biased walks on trees (2015) (16)
Uniform oscillations of the local time of iterated Brownian motion (1999) (15)
Increment sizes of the principal value of Brownian local time (2000) (15)
The Free Energy in the Derrida–Retaux Recursive Model (2017) (15)
The Derrida–Retaux conjecture on recursive models (2019) (15)
Liminf behaviours of the windings and Lévy's stochastic areas of planar Brownian motion (1994) (14)
On an Identity in Law for the Variance of the Brownian Bridge (1997) (14)
Aggregation rates in one-dimensional stochastic systems with adhesion and gravitation (2003) (14)
The escape rate of favorite sites of simple random walk and Brownian motion (2004) (12)
Large-time asymptotics for the density of a branching Wiener process (2004) (12)
Path properties of Cauchy’s principal values related to local time (2001) (11)
Strong approximation of spatial random walk in random scenery (2000) (11)
Fractional Brownian motions as "higher-order" fractional derivatives of Brownian local times (2002) (10)
Favourite sites, favourite values and jump sizes for random walk and Brownian motion (2000) (10)
Asymptotics for the survival probability in a supercritical branching random walk (2008) (10)
Points of infinite multiplicity of planar Brownian motion: Measures and local times (2018) (9)
Large Deviations for Level Sets of a Branching Brownian Motion and Gaussian Free Fields (2017) (9)
Random Walks and Trees (2011) (9)
On a Problem of Erd}os and Taylor (1996) (9)
Convex rearrangements, generalized Lorenz curves, and correlated Gaussian data (2007) (8)
A joint functional law for the Wiener process and principal value (2003) (8)
Large Favourite Sites of Simple Random Walk and theWiener Process (1998) (8)
Small Deviations of Gaussian Random Fields in $L_q$-Spaces (2006) (8)
Asymptotics for occupation times of half-lines by stable processes and perturbed reflecting brownian motion (1995) (8)
A Max-Type Recursive Model: Some Properties and Open Questions (2017) (8)
An Extreme-Value Analysis of the LIL for Brownian Motion (2004) (8)
Frequently visited sets for random walks (2004) (8)
On a problem of Erdös and Taylor (1996) (8)
The maximal drawdown of the Brownian meander (2015) (7)
Some liminf results for two-parameter processes (1998) (7)
Pointwise and Uniform Asymptotics of the Vervaat Error Process (2002) (7)
A weakness in strong localization for Sinai's walk. (2006) (7)
Uniform spanning forests associated with biased random walks on Euclidean lattices (2018) (7)
RANDOM WALKS & TREES (2010) (6)
Shortest excursion lengths (1999) (6)
On the explosion of the local times along lines of Brownian sheet (2004) (6)
Capacity Estimates, Boundary Crossings and the Ornstein-Uhlenbeck Process in Wiener Space (1999) (6)
Hirsch’s integral test for the iterated Brownian motion (1996) (6)
Lower Tails of Quadratic Functionals of Symmetric Stable Processes (1999) (6)
Minimal Position and Critical Martingale Convergence in Branching Random Walks ( On a paper (2008) (5)
A hierarchical renormalization model: some properties and open questions (2018) (5)
On the Spitzer and Chung laws of the iterated logarithm for brownian motion (1995) (5)
How long does it take a transient Bessel process to reach its future infimum (1996) (5)
A strong invariance principle for two-dimensional random walk in random scenery (2001) (5)
Gaussian Measure of a Small Ball and Capacity in Wiener Space (1998) (5)
The measure of the overlap of past and future under a transient bessel process (1996) (5)
Results and Conjectures on a Toy Model of Depinning (2020) (5)
The potential energy of biased random walks on trees (2014) (4)
On Spectral Radius of Biased Random Walks on Infinite Graphs (2018) (4)
On the Explosion of the Local Times of Brownian Sheet Along Lines (2002) (4)
The critical behaviors and the scaling functions of a coalescence equation (2020) (4)
Favourite sites of transient Brownian motion (1998) (3)
The joint law of the last zeros of Brownian motion and of its Lévy transform (2000) (3)
Brownian motion normalized by maximum local time (1996) (3)
On transient Bessel processes and planar Brownian motion reflected at their future infima (1995) (3)
Hitting Estimates For Gaussian Random Fields (1996) (3)
Martingale ratio convergence in the branching random walk (2011) (3)
Long Excursions of a Random Walk (2001) (3)
Functional large deviations for burgers particle systems (2007) (2)
The free energy in the Derrida--Retaux hierarchical renormalisation model (2017) (2)
Large Favourite Sites of Simple Random Walk and the Wiener Process Large Favourite Sites of Simple Random Walk and the Wiener Process (1998) (2)
Large void zones and occupation times for coalescing random walks (2004) (2)
THE LOWER TAIL PROBLEM FOR THE AREA OF A SYMMETRIC STABLE PROCESS (2005) (2)
Sojourns and future infima of planar Brownian motion (1995) (2)
The Stable Derrida–Retaux System at Criticality (2020) (2)
On a class of additive functionals of two-dimensional Brownian motion and random walk (2002) (2)
Branching Random Walks and Martingales (2015) (1)
Level crossings of a two-parameter random walk (2005) (1)
Measuring the Rarely Visited Sites of Brownian Motion (1999) (1)
Localizing biased random walks on trees (2015) (1)
Нижние функции эмпирического процесса и броуновского листа@@@Lower functions of empirical processes and Brownian sheets (2003) (1)
Uniform spanning forests on biased Euclidean lattices (2021) (1)
Uniform oscillations of the local timeof iterated Brownian motionNathalie EISENBAUM 1 and (0)
A Problem of Erd } Os{r Ev Esz on One-dimensional Random Walks (0)
Large Deviations for Level Sets of a Branching Brownian Motion and Gaussian Free Fields (2019) (0)
Our joint work with Miklós Csörgő (2005) (0)
Path Decompositions of Perturbed Reflecting Brownian Motions (2020) (0)
Branching Random Walks with Selection (2015) (0)
Convex rearrangements, generalized Lorenz curves, and correlated (2006) (0)
Galton–Watson Trees (2015) (0)
Large Deviations for the Branching Brownian Motion in Presence of Selection or Coalescence (2016) (0)
Applications of the Spinal Decomposition Theorem (2015) (0)
The sustainability probability for the critical Derrida–Retaux model (2021) (0)
Joint functional laws for the Wiener process , its local time and principal value (2005) (0)
Ju n 20 06 A weakness in strong localization for Sinai ’ s walk by (2006) (0)
PR ] 1 D ec 2 00 4 Frequently visited sets for random walks (2004) (0)
The Free Energy in the Derrida–Retaux Recursive Model (2018) (0)
An infinite-dimensional representation of the Ray-Knight theorems (2020) (0)
Almost sure convergence for stochastically biased random walks on trees (2011) (0)
Submitted to the Annals of Probability THE DERRIDA – RETAUX CONJECTURE ON RECURSIVE MODELS By (2020) (0)
The Spinal Decomposition Theorem (2015) (0)
for a recurrent random walk in random environment (2009) (0)

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Zhan Shi's AcademicInfluence.com Rankings