Search Results - "Croydon, David A"

Generalized Hydrodynamic Limit for the Box–Ball System by Croydon, David A., Sasada, Makiko

“…We deduce a generalized hydrodynamic limit for the box–ball system, which explains how the densities of solitons of different sizes evolve asymptotically under…”
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On the Stationary Solutions of Random Polymer Models and Their Zero-Temperature Limits by Croydon, David A., Sasada, Makiko

“…We derive stationary measures for certain zero-temperature random polymer models, which we believe are new in the case of the zero-temperature limit of the…”
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Slow movement of a random walk on the range of a random walk in the presence of an external field by Croydon, David A.

“…In this article, a localisation result is proved for the biased random walk on the range of a simple random walk in high dimensions ( ). This demonstrates…”
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Hausdorff Measure of Arcs and Brownian Motion on Brownian Spatial Trees by Croydon, David A.

“…A Brownian spatial tree is defined to be a pair (T, ø), where T is the rooted real tree naturally associated with a Brownian excursion and ø is a random…”
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Volume growth and heat kernel estimates for the continuum random tree by Croydon, David A.

“…In this article, we prove global and local (point-wise) volume and heat kernel bounds for the continuum random tree. We demonstrate that there are…”
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Anomalous scaling regime for one-dimensional Mott variable-range hopping by Croydon, David A., Fukushima, Ryoki, Junk, Stefan

“…We derive an anomalous, sub-diffusive scaling limit for a one-dimen-sional version of the Mott random walk. The limiting process can be viewed heuristically as…”
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Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings by Croydon, David A., Sasada, Makiko, Tsujimoto, Satoshi

“…We define bi-infinite versions of four well-studied discrete integrable models, namely the ultra-discrete KdV equation, the discrete KdV equation, the…”
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Biased random walk on supercritical percolation: anomalous fluctuations in the ballistic regime by Bowditch, Adam M., Croydon, David A.

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Quenched localisation in the Bouchaud trap model with slowly varying traps by Croydon, David A., Muirhead, Stephen

“…We consider the quenched localisation of the Bouchaud trap model on the positive integers in the case that the trap distribution has a slowly varying tail at…”
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QUENCHED INVARIANCE PRINCIPLES FOR RANDOM WALKS AND ELLIPTIC DIFFUSIONS IN RANDOM MEDIA WITH BOUNDARY by Chen, Zhen-Qing, Croydon, David A., Kumagai, Takashi

“…Via a Dirichlet form extension theorem and making full use of two-sided heat kernel estimates, we establish quenched invariance principles for random walks in…”
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Central limit theorems for the spectra of classes of random fractals by CHARMOY, PHILIPPE H. A., CROYDON, DAVID A., HAMBLY, BEN M.

“…We discuss the spectral asymptotics of some open subsets of the real line with random fractal boundary and of a random fractal, the continuum random tree. In…”
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Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model by Andres, Sebastian, Croydon, David A., Kumagai, Takashi

“…We present on-diagonal heat kernel estimates and quantitative homogenization statements for the one-dimensional Bouchaud trap model. The heat kernel estimates…”
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Extremal regime for one-dimensional Mott variable-range hopping by Croydon, David A., Fukushima, Ryoki, Junk, Stefan

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Random Walk on the Range of Random Walk by Croydon, David A.

“…We study the random walk X on the range of a simple random walk on ℤ d in dimensions d ≥4. When d ≥5 we establish quenched and annealed scaling limits for the…”
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Scaling limit for the cover time of the $\lambda$-biased random walk on a binary tree with $\lambda<1 by Croydon, David A

“…The $\lambda$-biased random walk on a binary tree of depth $n$ is the continuous-time Markov chain that has unit mean holding times and, when at a vertex other…”
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Scaling limit of critical percolation clusters on hyperbolic random half-planar triangulations and the associated random walks by Archer, Eleanor, Croydon, David A

“…We show that the Gromov-Hausdorff-Prohorov scaling limit of a critical percolation cluster on a random hyperbolic triangulation of the half-plane is the…”
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Triple collisions on a comb graph by Croydon, David A, De Ambroggio, Umberto

“…In this article, we consider the number of collisions of three independent simple random walks on a subgraph of the two-dimensional square lattice obtained by…”
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Generalized hydrodynamic limit for the box-ball system by Croydon, David A, Sasada, Makiko

“…We deduce a generalized hydrodynamic limit for the box-ball system, which explains how the densities of solitons of different sizes evolve asymptotically under…”
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On the stationary solutions of random polymer models and their zero-temperature limits by Croydon, David A, Sasada, Makiko

“…We derive stationary measures for certain zero-temperature random polymer models, which we believe are new in the case of the zero-temperature limit of the…”
Get full text

Annealed transition density of simple random walk on a high-dimensional loop-erased random walk by Croydon, David A, Shiraishi, Daisuke, Watanabe, Satomi

“…We derive sub-Gaussian bounds for the annealed transition density of the simple random walk on a high-dimensional loop-erased random walk. The walk dimension…”
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