College of Staten Island

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19962026

most citedPhenomenology of fully many-body-localized systems

964 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions

Showing math.PRShow all

28 papers · 1 filter

math.PR2021★ 1 cited

Concentration inequalities from monotone couplings for graphs, walks, trees and branching processes

Tobias Johnson, Erol Peköz

Generalized gamma distributions arise as limits in many settings involving random graphs, walks, trees, and branching processes. Peköz, Röllin, and Ross (2016, arXiv:1309.4183 [mat…

math.PR2021★ 8 cited

Diffusion-limited annihilating systems and the increasing convex order

Riti Bahl, Philip Barnet, Tobias Johnson +1

We consider diffusion-limited annihilating systems with mobile $A$ -particles and stationary $B$ -particles placed throughout a graph. Mutual annihilation occurs whenever an $A$ -part…

math.PR2020★ 1 cited

Continuous phase transitions on Galton-Watson trees

Tobias Johnson

Distinguishing between continuous and first-order phase transitions is a major challenge in random discrete systems. We study the topic for events with recursive structure on Galto…

math.PR2018★ 9 cited

Sensitivity of the frog model to initial conditions

Tobias Johnson, Leonardo T. Rolla

The frog model is an interacting particle system on a graph. Active particles perform independent simple random walks, while sleeping particles remain inert until visited by an act…

math.PR2018★ 5 cited

Random tree recursions: which fixed points correspond to tangible sets of trees?

Tobias Johnson, Moumanti Podder, Fiona Skerman

Let $B$ be the set of rooted trees containing an infinite binary subtree starting at the root. This set satisfies the metaproperty that a tree belongs to it if and only i…

math.PR2018★ 11 cited

Cover time for the frog model on trees

Christopher Hoffman, Tobias Johnson, Matthew Junge

The frog model is a branching random walk on a graph in which particles branch only at unvisited sites. Consider an initial particle density of $μ$ on the full $d$ -ary tree of heig…

math.PR2017★ 1 cited

Two-dimensional anisotropic random walks: fixed versus random column configurations for transport phenomena

Endre Csáki, Miklós Csörgő, Antónia Földes +1

We consider random walks on the square lattice of the plane along the lines of Heyde (1982, 1993) and den Hollander (1994), whose studies have in part been inspired by the so-calle…

math.PR2016

About the distance between random walkers on some graphs

Endre Csaki, Antonia Foldes, Pal Revesz

We consider two or more simple symmetric walks on some graphs, e.g. the real line, the plane or the two dimensional comb lattice, and investigate the properties of the distance amo…

math.PR2014★ 7 cited

Microcanonical analysis of the Random Energy Model in a random magnetic field

Louis-Pierre Arguin, Nicola Kistler

We study the spin glass system consisting of a Random Energy Model coupled with a random magnetic field. This system was investigated by de Oliveira Filho, da Costa and Yokoi (Phys…

math.PR2013★ 2 cited

Intersection local times for interlacements

Jay Rosen

We define renormalized intersection local times for random interlacements of Lévy processes in R^{d} and prove an isomorphism theorem relating renormalized intersection local times…

math.PR2013

Intersection local times, loop soups and permanental Wick powers

Yves Le Jan, Michael B. Marcus, Jay Rosen

Several stochastic processes related to transient Lévy processes with potential densities $u (x, y) = u (y - x)$ , that need not be symmetric nor bounded on the diagonal, are defined and s…

math.PR2010★ 17 cited

A sufficient condition for the continuity of permanental processes with applications to local times of Markov processes

Michael B. Marcus, Jay Rosen

We provide a sufficient condition for the continuity of real valued permanental processes. When applied to the subclass of permanental processes which consists of squares of Gaussi…

math.PR2009

Large deviations and renormalization for Riesz potentials of stable intersection measures

Xia Chen, Jay Rosen

We study the object formally defined as γ\big([0,t]^{2}\big)=\int\int_{[0,t]^{2}} | X_{s}- X_{r}|^{-σ} dr ds-E\int\int_{[0,t]^{2}} | X_{s}- X_{r}|^{-σ} dr ds, where $X_{t}$ is the…

math.PR2009★ 3 cited

Continuous Differentiability of Renormalized Intersection Local Times in R^{1}

Jay S. Rosen

We study $γ_{k} (x_{2}, ..., x_{k}; t)$ , the k-fold renormalized self-intersection local time for Brownian motion in $R^{1}$ . Our main result says that $γ_{k} (x_{2}, ..., x_{k}; t)$ is continuously…

math.PR2009

A CLT for the third integrated moment of Brownian local time increments

Jay Rosen

Let ${L_{t}^{x}; (x, t) \in R^{1} \times R_{+}^{1}}$ denote the local time of Brownian motion. Our main result is to show that for each fixed $t$ $${\int (L^{x+h}_t- L^x_t)^3 dx-12…

math.PR2008

On the number of cutpoints of the transient nearest neighbor random walk on the line

Endre Csáki, Antónia Földes, Pál Révész

We consider transient nearest neighbor random walks on the positive part of the real line. We give criteria for the finiteness of the number of cutpoints and strong cutpoints. Exam…

math.PR2008

Transient nearest neighbor random walk and Bessel process

Endre Csáki, Antónia Földes, Pál Révész

We prove strong invariance principle between a transient Bessel process and a certain nearest neighbor (NN) random walk that is constructed from the former by using stopping times.…

math.PR2007

Asymptotic expansions for functions of the increments of certain Gaussian processes

Michael Marcus, Jay Rosen

Let $G = {G (x), x \geq 0}$ be a mean zero Gaussian process with stationary increments and set $σ^{2} (∣ x - y ∣) = E (G (x) - G (y))^{2}$ . Let $f$ be a function with $Ef^{2}(η)<\ff$, where $η=N(0,1)…

math.PR2006

Frequent points for random walks in two dimensions

Richard F. Bass, Jay Rosen

For a symmetric random walk in $Z^{2}$ which does not necessarily have bounded jumps we study those points which are visited an unusually large number of times. We prove the analogue…

math.PR2006★ 16 cited

$L^{p}$ moduli of continuity of Gaussian processes and local times of symmetric Lévy processes

Michael B. Marcus, Jay Rosen

Let $X = {X (t), t \in R_{+}}$ be a real-valued symmetric Lévy process with continuous local times ${L_{t}^{x}, (t, x) \in R_{+} \times R}$ and characteristic function $E e^{iλ X (t)} = e^{- t ψ (λ)}$ .…

math.PR2006

On the behavior of random walk around heavy points

Endre Csáki, Antónia Földes, Pál Révész

Consider a symmetric aperiodic random walk in $Z^{d}$ , $d \geq 3$ . There are points (called heavy points) where the number of visits by the random walk is close to its maximum. We inv…

math.PR2005★ 21 cited

Large deviations for renormalized self-intersection local times of stable processes

Richard Bass, Xia Chen, Jay Rosen

We study large deviations for the renormalized self-intersection local time of d-dimensional stable processes of index β\in (2d/3,d]. We find a difference between the upper and low…

math.PR2005

Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks

Richard F. Bass, Xia Chen, Jay Rosen

Let B_n be the number of self-intersections of a symmetric random walk with finite second moments in the integer planar lattice. We obtain moderate deviation estimates for B_n - E…

math.PR2005★ 1 cited

Heavy points of a d-dimensional simple random walk

Endre Csáki, Antónia Földes, Pál Révész

For a simple symmetric random walk in dimension $d \geq 3$ , a uniform strong law of large numbers is proved for the number of sites with given local time up to time $n$ .

Concentration inequalities from monotone couplings for graphs, walks, trees and branching processes

Diffusion-limited annihilating systems and the increasing convex order

Continuous phase transitions on Galton-Watson trees

Sensitivity of the frog model to initial conditions

Random tree recursions: which fixed points correspond to tangible sets of trees?

Cover time for the frog model on trees

Two-dimensional anisotropic random walks: fixed versus random column configurations for transport phenomena

About the distance between random walkers on some graphs

Microcanonical analysis of the Random Energy Model in a random magnetic field

Intersection local times for interlacements

Intersection local times, loop soups and permanental Wick powers

A sufficient condition for the continuity of permanental processes with applications to local times of Markov processes

Large deviations and renormalization for Riesz potentials of stable intersection measures

Continuous Differentiability of Renormalized Intersection Local Times in R^{1}

A CLT for the third integrated moment of Brownian local time increments

On the number of cutpoints of the transient nearest neighbor random walk on the line

Transient nearest neighbor random walk and Bessel process

Asymptotic expansions for functions of the increments of certain Gaussian processes

Frequent points for random walks in two dimensions

Lp moduli of continuity of Gaussian processes and local times of symmetric Lévy processes

On the behavior of random walk around heavy points

Large deviations for renormalized self-intersection local times of stable processes

Moderate deviations and laws of the iterated logarithm for the renormalized self-intersection local times of planar random walks

Heavy points of a d-dimensional simple random walk

$L^{p}$ moduli of continuity of Gaussian processes and local times of symmetric Lévy processes