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Responding to historical injustices: Collective inheritance and the moral irrelevance of group identity. 回应历史的不公正：集体继承与群体认同的道德无关
IF 1.1 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2024-01-01 Epub Date: 2022-05-24 DOI: 10.1177/14748851221100094
Santiago Truccone-Borgogno
{"title":"Responding to historical injustices: Collective inheritance and the moral irrelevance of group identity.","authors":"Santiago Truccone-Borgogno","doi":"10.1177/14748851221100094","DOIUrl":"10.1177/14748851221100094","url":null,"abstract":"<p><p>I argue that changes in the numerical identity of groups do not necessarily speak in favour of the supersession of some historical injustice. I contend that the correlativity between the perpetrator and the victim of injustices is not broken when the identity of groups changes. I develop this argument by considering indigenous people's claims in Argentina for the injustices suffered during the Conquest of the Desert. I argue that present claimants do not need to be part of the same entity whose members suffered injustices many years ago. For identifying the proper recipients of reparation, all that is necessary is that the group who suffered the historical injustice under consideration has survived into the present. I also support a view upon which present living members of a certain group have reasons to redress those injustices perpetrated by their predecessors if they are relevantly connected with each other. In particular, by relying on the notion of collective inheritance, I argue that if present-day members of a certain group claim that they are the continuation of the group whose past members bequeathed them certain goods, they cannot consistently reject such a membership when the very same people legated them certain evils.</p>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"76 1-2","pages":"65-84"},"PeriodicalIF":1.1,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10766497/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41299665","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On a Factorization Formula for the Partition Function of Directed Polymers 关于定向聚合物分配函数的因子分解公式。
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-10-20 DOI: 10.1007/s10955-023-03172-w
Tobias Hurth, Konstantin Khanin, Beatriz Navarro Lameda, Fedor Nazarov
{"title":"On a Factorization Formula for the Partition Function of Directed Polymers","authors":"Tobias Hurth,&nbsp;Konstantin Khanin,&nbsp;Beatriz Navarro Lameda,&nbsp;Fedor Nazarov","doi":"10.1007/s10955-023-03172-w","DOIUrl":"10.1007/s10955-023-03172-w","url":null,"abstract":"<div><p>We prove a factorization formula for the point-to-point partition function associated with a model of directed polymers on the space-time lattice <span>(mathbb {Z}^{d+1})</span>. The polymers are subject to a random potential induced by independent identically distributed random variables and we consider the regime of weak disorder, where polymers behave diffusively. We show that when writing the quotient of the point-to-point partition function and the transition probability for the underlying random walk as the product of two point-to-line partition functions plus an error term, then, for large time intervals [0, <i>t</i>], the error term is small uniformly over starting points <i>x</i> and endpoints <i>y</i> in the sub-ballistic regime <span>(Vert x - y Vert le t^{sigma })</span>, where <span>(sigma &lt; 1)</span> can be arbitrarily close to 1. This extends a result of Sinai, who proved smallness of the error term in the diffusive regime <span>(Vert x - y Vert le t^{1/2})</span>. We also derive asymptotics for spatial and temporal correlations of the field of limiting partition functions.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 10","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-10-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10589201/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49688271","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes 具有随机步长的象随机游动中心极限定理的收敛速度
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-09-27 DOI: 10.1007/s10955-023-03168-6
Jérôme Dedecker, Xiequan Fan, Haijuan Hu, Florence Merlevède
{"title":"Rates of Convergence in the Central Limit Theorem for the Elephant Random Walk with Random Step Sizes","authors":"Jérôme Dedecker,&nbsp;Xiequan Fan,&nbsp;Haijuan Hu,&nbsp;Florence Merlevède","doi":"10.1007/s10955-023-03168-6","DOIUrl":"10.1007/s10955-023-03168-6","url":null,"abstract":"<div><p>In this paper, we consider a generalization of the elephant random walk model. Compared to the usual elephant random walk, an interesting feature of this model is that the step sizes form a sequence of positive independent and identically distributed random variables instead of a fixed constant. For this model, we establish the law of the iterated logarithm, the central limit theorem, and we obtain rates of convergence in the central limit theorem with respect to the Kolmogorov, Zolotarev and Wasserstein distances. We emphasize that, even in case of the usual elephant random walk, our results concerning the rates of convergence in the central limit theorem are new.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 10","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-023-03168-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41082679","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cutoff and Dynamical Phase Transition for the General Multi-component Ising Model 通用多分量Ising模型的截止和动态相变
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-09-03 DOI: 10.1007/s10955-023-03162-y
Seoyeon Yang
{"title":"Cutoff and Dynamical Phase Transition for the General Multi-component Ising Model","authors":"Seoyeon Yang","doi":"10.1007/s10955-023-03162-y","DOIUrl":"10.1007/s10955-023-03162-y","url":null,"abstract":"<div><p>We study the multi-component Ising model, which is also known as the block Ising model. In this model, the particles are partitioned into a fixed number of groups with a fixed proportion, and the interaction strength is determined by the group to which each particle belongs. We demonstrate that the Glauber dynamics on our model exhibits the cutoff<span>(text{-- })</span>metastability phase transition as passing the critical inverse-temperature <span>(beta _{cr})</span>, which is determined by the proportion of the groups and their interaction strengths, regardless of the total number of particles. For <span>(beta &lt;beta _{cr})</span>, the dynamics shows a cutoff at <span>(alpha nlog n)</span> with a window size <i>O</i>(<i>n</i>), where <span>(alpha )</span> is a constant independent of <i>n</i>. For <span>(beta =beta _{cr})</span>, we prove that the mixing time is of order <span>(n^{3/2})</span>. In particular, we deduce the so-called non-central limit theorem for the block magnetizations to validate the optimal bound at <span>(beta =beta _{cr})</span>. For <span>(beta &gt;beta _{cr})</span>, we examine the metastability, which refers to the exponential mixing time. Our results, based on the position of the employed Ising model on the complete multipartite graph, generalize the results of previous versions of the model.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 9","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48197861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Correction to: Percolation Thresholds for Spherically Symmetric Fractal Aggregates 修正:球对称分形聚集体的渗透阈值
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-09-02 DOI: 10.1007/s10955-023-03163-x
Avik P. Chatterjee
{"title":"Correction to: Percolation Thresholds for Spherically Symmetric Fractal Aggregates","authors":"Avik P. Chatterjee","doi":"10.1007/s10955-023-03163-x","DOIUrl":"10.1007/s10955-023-03163-x","url":null,"abstract":"","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 9","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4106494","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale 水动力尺度上Toda晶格的平衡时空相关
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-08-25 DOI: 10.1007/s10955-023-03155-x
Guido Mazzuca, Tamara Grava, Thomas Kriecherbauer, Kenneth T.-R. McLaughlin, Christian B. Mendl, Herbert Spohn
{"title":"Equilibrium Spacetime Correlations of the Toda Lattice on the Hydrodynamic Scale","authors":"Guido Mazzuca,&nbsp;Tamara Grava,&nbsp;Thomas Kriecherbauer,&nbsp;Kenneth T.-R. McLaughlin,&nbsp;Christian B. Mendl,&nbsp;Herbert Spohn","doi":"10.1007/s10955-023-03155-x","DOIUrl":"10.1007/s10955-023-03155-x","url":null,"abstract":"<div><p>We report on molecular dynamics simulations of spacetime correlations of the Toda lattice in thermal equilibrium. The correlations of stretch, momentum, and energy are computed numerically over a wide range of pressure and temperature. Our numerical results are compared with the predictions from linearized generalized hydrodynamics on the Euler scale. The system size is <span>(N=3000,4000)</span> and time <span>(t =600)</span>, at which ballistic scaling is well confirmed. With no adjustable parameters, the numerically obtained scaling functions agree with the theory within a precision of less than 3.5%.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 8","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10955-023-03155-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46065830","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map Bunimovich体育场台球地图拓扑熵的一个上界。
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-08-25 DOI: 10.1007/s10955-023-03142-2
Jernej Činč, Serge Troubetzkoy
{"title":"An Upper Bound on Topological Entropy of the Bunimovich Stadium Billiard Map","authors":"Jernej Činč,&nbsp;Serge Troubetzkoy","doi":"10.1007/s10955-023-03142-2","DOIUrl":"10.1007/s10955-023-03142-2","url":null,"abstract":"<div><p>We show that the topological entropy of the billiard map in a Bunimovich stadium is at most <span>(log (3.49066))</span>.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 8","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10449974/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"10075004","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
The Coverage Ratio of the Frog Model on Complete Graphs 完全图上青蛙模型的覆盖率
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-08-23 DOI: 10.1007/s10955-023-03156-w
Gustavo O. de Carvalho, Fábio P. Machado
{"title":"The Coverage Ratio of the Frog Model on Complete Graphs","authors":"Gustavo O. de Carvalho,&nbsp;Fábio P. Machado","doi":"10.1007/s10955-023-03156-w","DOIUrl":"10.1007/s10955-023-03156-w","url":null,"abstract":"<div><p>The frog model is a system of interacting random walks. Initially, there is one particle at each vertex of a connected graph. All particles are inactive at time zero, except for the one which is placed at the root of the graph, which is active. At each instant of time, each active particle may die with probability <span>(1-p)</span>. Once an active particle survives, it jumps on one of its nearest vertices, chosen with uniform probability, performing a discrete time simple symmetric random walk (SRW). Up to the time it dies, it activates all inactive particles it hits along its way. From the moment they are activated, every such particle starts to walk, performing exactly the same dynamics, independent of everything else. In this paper, we consider the <span>(n-)</span>complete graph (a finite graph with each pair of vertices linked by an edge). We study the limit in <i>n</i> of the coverage ratio, that is, the proportion of visited vertices by some active particle up to the end of the process, after all active particles have died.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 8","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-08-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42389053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Disordered Monomer-Dimer Model on Cylinder Graphs 柱面图上无序单体-二聚体模型
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-08-20 DOI: 10.1007/s10955-023-03159-7
Partha S. Dey, Kesav Krishnan
{"title":"Disordered Monomer-Dimer Model on Cylinder Graphs","authors":"Partha S. Dey,&nbsp;Kesav Krishnan","doi":"10.1007/s10955-023-03159-7","DOIUrl":"10.1007/s10955-023-03159-7","url":null,"abstract":"<div><p>We consider the disordered monomer-dimer model on cylinder graphs <span>({mathcal {G}}_n)</span>, i.e., graphs given by the Cartesian product of the line graph on <i>n</i> vertices, and a deterministic finite graph. The edges carry i.i.d. random weights, and the vertices also have i.i.d. random weights, not necessarily from the same distribution. Given the random weights, we define a Gibbs measure on the space of monomer-dimer configurations on <span>({mathcal {G}}_n)</span>. We show that the associated free energy converges to a limit and, with suitable scaling and centering, satisfies a Gaussian central limit theorem. We also show that the number of monomers in a typical configuration satisfies a law of large numbers and a Gaussian central limit theorem with appropriate centering and scaling. Finally, for an appropriate height function associated with a matching, we show convergence to a limiting function and prove the Brownian motion limit around the limiting height function in the sense of finite-dimensional distributional convergence.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 8","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46183779","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Piecewise Monotonic Maps with a Common Piecewise Constant Stationary Density 具有公共分段常定密度的分段单调映射
IF 1.6 3区 物理与天体物理
Journal of Statistical Physics Pub Date : 2023-08-20 DOI: 10.1007/s10955-023-03143-1
Zi Wang, Jiu Ding, Noah Rhee
{"title":"Piecewise Monotonic Maps with a Common Piecewise Constant Stationary Density","authors":"Zi Wang,&nbsp;Jiu Ding,&nbsp;Noah Rhee","doi":"10.1007/s10955-023-03143-1","DOIUrl":"10.1007/s10955-023-03143-1","url":null,"abstract":"<div><p>For a prescribed piecewise constant density function defined on the unit interval, we construct piecewise strictly monotonic maps, consisting of piecewise stretching linear functions, from the interval to itself whose stationary density is the given function. We also show the statistical stability of such maps under some natural condition.</p></div>","PeriodicalId":667,"journal":{"name":"Journal of Statistical Physics","volume":"190 8","pages":""},"PeriodicalIF":1.6,"publicationDate":"2023-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49301289","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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