29 citations · 261 across the 44 of their papers we have counts for
45 papers
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…
Ultra-Discretization of Yang-Baxter Maps, Probability Distributions and Independence Preserving Property
Hiroki Kondo, Sachiko Nakajima, Makiko Sasada
We study the relationship between Yang-Baxter maps and the independence preserving (IP) property, motivated by their role in integrable systems, from the perspective of ultra-discr…
Unveiling Optimal Diffusion for Infection Control in Brownian Particle Systems
Kaito Takahashi, Makiko Sasada, Takuma Akimoto
Understanding the spread of infectious diseases requires integrating movement, physical constraints, and spatial configurations into epidemiological models. In this study, we inves…
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…
The incompressible Navier-Stokes limit from the lattice BGK Boltzmann equation
Zhongyang Gu, Xin Hu, Pritpal Matharu +3
In this paper, we prove that a local weak solution to the -dimensional incompressible Navier-Stokes equations () can be constructed by taking the hydrodynamic limit of…
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…
An elementary and direct computation of cohomology with and without a group action
Makiko Sasada
Recently, we introduced a configuration space with interaction structure and a uniform local cohomology on it with co-authors in arXiv:2009.04699. The notion is used to understand…
Relationships between two linearizations of the box-ball system : Kerov-Kirillov-Reshetikhin bijection and slot configuration
Matteo Mucciconi, Makiko Sasada, Tomohiro Sasamoto +1
The box-ball system (BBS), which was introduced by Takahashi and Satsuma in 1990, is a soliton cellular automaton. Its dynamics can be linearized by a few methods, among which the…
Yang-Baxter maps and independence preserving property
Makiko Sasada, Ryosuke Uozumi
We study a surprising relationship between two properties for bijective functions for a set wh…
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…
Bi-infinite solutions for KdV- and Toda-type discrete integrable systems based on path encodings
David A. Croydon, Makiko Sasada, Satoshi Tsujimoto
We define bi-infinite versions of four well-studied discrete integrable models, namely the ultra-discrete KdV equation, the discrete KdV equation, the ultra-discrete Toda equation,…
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…
Generalized hydrodynamic limit for the box-ball system
David A. Croydon, Makiko Sasada
We deduce a generalized hydrodynamic limit for the box-ball system, which explains how the densities of solitons of different sizes evolve asymptotically under Euler space-time sca…
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…