29 citations · 261 across the 44 of their papers we have counts for
31 papers · 1 filter
Independence properties for tree beta models
Yoshihiro Gyotoku, Makiko Sasada, Jacek Wesołowski
This paper is devoted to introduce new probabilistic tree-based models complementing already known Matsumoto-Yor and Hamza-Vallois tree models with two tree beta-type models.
Stationary fluctuations for an exclusion process with mass and energy conservation
Hugo Da Cunha, Makiko Sasada
We introduce a novel exclusion process with two conservation laws, mass and energy, designed to mimic the essential features of continuous systems like interacting oscillators with…
Degree-preserving conservative processes and a unified approach for their hydrodynamics
Chiara Franceschini, Patrícia Gonçalves, Kohei Hayashi +1
We investigate a broad class of large-scale one-dimensional interacting systems characterized by a single conservation law and satisfying the "degree-preserving property". Under mi…
Hydrodynamic limit for some gradient and attractive spin models
Chiara Franceschini, Patrícia Gonçalves, Kohei Hayashi +1
We study the hydrodynamic limit for three gradient spin models: generalized Kipnis-Marchioro-Presutti (KMP), its discrete version and a family of harmonic models, under symmetric a…
Scaling limits of solitons in the box-ball system
Stefano Olla, Makiko Sasada, Hayate Suda
We study the space-time scaling limits of solitons in the box-ball system with random initial distribution. In particular, we show that any recentered tagged soliton converges to a…
On Interactions for Large Scale Interacting Systems
Kenichi Bannai, Jun Koriki, Makiko Sasada +2
Statistical mechanics explains the properties of macroscopic phenomena based on the movements of microscopic particles such as atoms and molecules. Movements of microscopic particl…
On Uniform Functions on Configuration Spaces of Large Scale Interacting Systems
Kenichi Bannai, Makiko Sasada
Stochastic large scale interacting systems can be studied via the observables, i.e. functions on the underlying configuration space. In our previous article, we introduced the conc…
Characterization of Gradient Condition for Asymmetric Partial Exclusion Processes and Their Scaling Limits
Patrícia Gonçalves, Kohei Hayashi, Makiko Sasada
We consider partial exclusion processes~(PEPs) on the one-dimensional square lattice, that is, a system of interacting particles where each particle random walks according to a jum…
Varadhan's decomposition of shift-invariant closed uniform forms for large scale interacting systems on general crystal lattices
Kenichi Bannai, Makiko Sasada
We prove a uniform version of Varadhan decomposition for shift-invariant closed uniform forms associated to large scale interacting systems on general crystal lattices. In particul…
Varadhan's Decomposition of Shift-Invariant Closed -forms for Large Scale Interacting Systems on the Euclidean Lattice
Kenichi Bannai, Makiko Sasada
We rigorously formulate and prove for a relatively general class of interactions Varadhan's Decomposition of shift-invariant closed -forms for a large scale interacting system…
A Decomposition Theorem of Varadhan Type for Co-local Forms on Large Scale Interacting Systems
Kenichi Bannai, Makiko Sasada
In our previous article with Yukio Kametani, we investigated the geometric structure underlying a large scale interacting system on infinite graphs, via constructing a suitable coh…
On the stationary solutions of random polymer models and their zero-temperature limits
David A. Croydon, Makiko Sasada
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 beta random polymer (tha…
Topological Structures of Large Scale Interacting Systems via Uniform Functions and Forms
Kenichi Bannai, Yukio Kametani, Makiko Sasada
In this article, we investigate the topological structure of large scale interacting systems on infinite graphs, by constructing a suitable cohomology which we call the uniform coh…
Discrete integrable systems and Pitman's transformation
David A. Croydon, Makiko Sasada
We survey recent work that relates Pitman's transformation to a variety of classical integrable systems, including the box-ball system, the ultra-discrete and discrete KdV equation…
Detailed balance and invariant measures for discrete KdV- and Toda-type systems
David A. Croydon, Makiko Sasada
In order to study the invariant measures of discrete KdV- and Toda-type systems, this article focusses on models, discretely indexed in space and time, whose dynamics are determini…
Duality between box-ball systems of finite box and/or carrier capacity
David A. Croydon, Makiko Sasada
We construct the dynamics of the box-ball system with box capacity and carrier capacity , which we abbreviate to BBS(,), in the case of infinite initial configurations…
Invariant measures for the box-ball system based on stationary Markov chains and periodic Gibbs measures
David A. Croydon, Makiko Sasada
The box-ball system (BBS) is a simple model of soliton interaction introduced by Takahashi and Satsuma in the 1990s. Recent work of the authors, together with Tsuyoshi Kato and Sat…
5/6-Superdiffusion of energy for coupled charged harmonic oscillators in a magnetic field
Keiji Saito, Makiko Sasada, Hayate Suda
We consider a one-dimensional infinite chain of coupled charged har- monic oscillators in a magnetic field with a small stochastic perturbation of order . We prove that for a sp…
Dynamics of the box-ball system with random initial conditions via Pitman's transformation
David A. Croydon, Tsuyoshi Kato, Makiko Sasada +1
The box-ball system (BBS), introduced by Takahashi and Satsuma in 1990, is a cellular automaton that exhibits solitonic behaviour. In this article, we study the BBS when started fr…
Hydrodynamic limit for a facilitated exclusion process
Oriane Blondel, Clément Erignoux, Makiko Sasada +1
We study the hydrodynamic limit for a periodic -dimensional exclusion process with a dynamical constraint, which prevents a particle at site from jumping to site unl…
Convergence of a degenerate microscopic dynamics to the porous medium equation
Oriane Blondel, Clément Cancès, Makiko Sasada +1
We derive the porous medium equation from an interacting particle system which belongs to the family of exclusion processes, with nearest neighbor exchanges. The particles follow a…
Thermal conductivity for coupled charged harmonic oscillators with noise in a magnetic field
Keiji Saito, Makiko Sasada
We introduce a -dimensional system of charged harmonic oscillators in a magnetic field perturbed by a stochastic dynamics which conserves energy but not momentum. We study the t…
The gradient condition and the contribution of the dynamical part of Green-Kubo formula to the diffusion coefficient
Makiko Sasada
In the diffusive hydrodynamic limit for a symmetric interacting particle system (such as the exclusion process, the zero range process, the stochastic Ginzburg-Landau model, the en…
Algebraic Structure of Vector Fields in Financial Diffusion Models and its Applications
Yusuke Morimoto, Makiko Sasada
High order discretization schemes of SDEs by using free Lie algebra valued random variables are introduced by Kusuoka, Lyons-Victoir, Ninomiya-Victoir and Ninomiya-Ninomiya. These…