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Deriving Hydrodynamic Equations for a Hamiltonian “Field–Lattice” System 导出哈密顿“场格”系统的流体动力方程
IF 0.6 4区 数学
Doklady Mathematics Pub Date : 2025-10-17 DOI: 10.1134/S1064562424601094
T. V. Dudnikova
{"title":"Deriving Hydrodynamic Equations for a Hamiltonian “Field–Lattice” System","authors":"T. V. Dudnikova","doi":"10.1134/S1064562424601094","DOIUrl":"10.1134/S1064562424601094","url":null,"abstract":"<p>We give the rigorous derivation of hydrodynamic equations for an infinite harmonic crystal coupled to the Klein–Gordon field. These equations hold in the hydrodynamic limit, and they should be considered as the analog of the Euler and Navier–Stokes equations for the model under consideration.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"111 1","pages":"20 - 24"},"PeriodicalIF":0.6,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Vandermonde Matrix in the General Case 一般情况下的Vandermonde矩阵
IF 0.6 4区 数学
Doklady Mathematics Pub Date : 2025-10-17 DOI: 10.1134/S1064562424601914
A. I. Perov, I. D. Kostrub
{"title":"Vandermonde Matrix in the General Case","authors":"A. I. Perov,&nbsp;I. D. Kostrub","doi":"10.1134/S1064562424601914","DOIUrl":"10.1134/S1064562424601914","url":null,"abstract":"<p>The Vandermonde matrix is considered in an arbitrary complex Banach algebra. The accompanying Frobenius matrix is used to establish the relationship between the coefficients of an algebraic equation and the Vandermonde matrix constructed from its roots. The divided difference of arbitrary order is defined based on an invertible Vandermonde matrix. An analogue of the Hermite formula for an integral representation of the divided difference is given. An inclusion for the spectrum of the divided difference and an analogue of Dunford’s theorem on the mapping of spectra are given.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"111 1","pages":"44 - 49"},"PeriodicalIF":0.6,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Flexible Bayesian estimation of elliptical copulas 椭圆轴的柔性贝叶斯估计
IF 2.4 2区 数学
Journal of Computational and Graphical Statistics Pub Date : 2025-10-17 DOI: 10.1080/10618600.2025.2573152
Panfeng Liang, Ori Rosen
{"title":"Flexible Bayesian estimation of elliptical copulas","authors":"Panfeng Liang, Ori Rosen","doi":"10.1080/10618600.2025.2573152","DOIUrl":"https://doi.org/10.1080/10618600.2025.2573152","url":null,"abstract":"","PeriodicalId":15422,"journal":{"name":"Journal of Computational and Graphical Statistics","volume":"47 1","pages":""},"PeriodicalIF":2.4,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145306032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamics of a System in the Presence of Invariant Relationships 存在不变关系的系统动力学
IF 0.6 4区 数学
Doklady Mathematics Pub Date : 2025-10-17 DOI: 10.1134/S1064562424601525
E. I. Kugushev, T. V. Salnikova, N. M. Makarov, A. I. Yumagulova
{"title":"Dynamics of a System in the Presence of Invariant Relationships","authors":"E. I. Kugushev,&nbsp;T. V. Salnikova,&nbsp;N. M. Makarov,&nbsp;A. I. Yumagulova","doi":"10.1134/S1064562424601525","DOIUrl":"10.1134/S1064562424601525","url":null,"abstract":"<p>The possibility of the existence of an invariant measure with smooth density is discussed in two cases related to invariant sets, namely, at the levels of partial integrals and at the joint invariant level of two or more functions. A version of Jacobi’s last multiplier theorem is presented, which supplements similar results of S.A. Chaplygin and V.V. Kozlov. Conditions are investigated under which the invariant sets represent a two-dimensional torus with an invariant measure of smooth density defined on it. This means that Kolmogorov’s theorem is applicable, which implies that, after making an appropriate change of coordinates, the motion becomes conditionally periodic.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"111 1","pages":"29 - 35"},"PeriodicalIF":0.6,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316106","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modal Logics with Intersection Modality 具有交集模态的模态逻辑
IF 0.6 4区 数学
Doklady Mathematics Pub Date : 2025-10-17 DOI: 10.1134/S1064562425700024
E. E. Zolin
{"title":"Modal Logics with Intersection Modality","authors":"E. E. Zolin","doi":"10.1134/S1064562425700024","DOIUrl":"10.1134/S1064562425700024","url":null,"abstract":"<p>We give a simple proof of a result recently obtained in [12] on the completeness of modal logics with modality that corresponds to the intersection of accessibility relations in a Kripke model. Completeness is proved for logics in modal languages of two types: one has modalities <span>({{square }_{1}}, ldots ,{{square }_{n}})</span> for relations <span>({{R}_{1}}, ldots ,{{R}_{n}})</span> that satisfy a unimodal logic <i>L</i> and modality <span>({{square }_{{n + 1}}})</span> for the intersection <span>({{R}_{{n + 1}}} = {{R}_{1}} cap ldots cap {{R}_{n}})</span>; the other language has modalities <span>({{square }_{i}}(i in Sigma ))</span> for relations <i>R</i><sub><i>i</i></sub> that satisfy the logic <i>L</i>, and, for every nonempty subset of indices <span>(I subseteq Sigma )</span>, the modality <span>({{square }_{I}})</span> for the intersection <span>(bigcapnolimits_{i in I} {{R}_{i}})</span>. While in [12] the completeness is proved only for logics over <span>({mathbf{K,KD,KT,K4,S4}})</span>, and <b>S5</b>, we give a “uniform” construction that enables us to obtain completeness for logics with intersection over 15 “traditional” modal logics <b>K</b>Λ for <span>(Lambda subseteq { {mathbf{D,T,B,4,5}}} )</span>. The proof method is based on unraveling a frame and then taking the Horn closure of the resulting frame.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"111 1","pages":"59 - 73"},"PeriodicalIF":0.6,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316132","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction to “The basic component of the mean curvature of Riemannian foliations” 修正“黎曼叶理平均曲率的基本分量”
IF 0.7 3区 数学
Annals of Global Analysis and Geometry Pub Date : 2025-10-17 DOI: 10.1007/s10455-025-10008-1
Jesús A. Álvarez López, Ken Richardson
{"title":"Correction to “The basic component of the mean curvature of Riemannian foliations”","authors":"Jesús A. Álvarez López,&nbsp;Ken Richardson","doi":"10.1007/s10455-025-10008-1","DOIUrl":"10.1007/s10455-025-10008-1","url":null,"abstract":"","PeriodicalId":8268,"journal":{"name":"Annals of Global Analysis and Geometry","volume":"68 4","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316571","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
New Cases of Integrable Conservative and Dissipative Systems of Any Odd Order 任意奇阶可积保守耗散系统的新情形
IF 0.6 4区 数学
Doklady Mathematics Pub Date : 2025-10-17 DOI: 10.1134/S1064562424602129
M. V. Shamolin
{"title":"New Cases of Integrable Conservative and Dissipative Systems of Any Odd Order","authors":"M. V. Shamolin","doi":"10.1134/S1064562424602129","DOIUrl":"10.1134/S1064562424602129","url":null,"abstract":"<p>We present new cases of integrable dynamical systems of any odd order that are homogeneous in terms of some of their variables and in which a system on the cotangent bundle of an even-dimensional manifold can be distinguished. In this case, the force field (shift generator in the system) is divided into an internal (conservative) and an external one, which has dissipation of different signs. The external field is introduced using some unimodular transformation and generalizes previously considered fields. Complete sets of both first integrals and invariant differential forms are given.</p>","PeriodicalId":531,"journal":{"name":"Doklady Mathematics","volume":"111 1","pages":"50 - 58"},"PeriodicalIF":0.6,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316107","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A Criterion for Categories on Which Every Grothendieck Topology is Rigid 每个Grothendieck拓扑都是刚性的范畴的一个判据
IF 0.5 4区 数学
Applied Categorical Structures Pub Date : 2025-10-17 DOI: 10.1007/s10485-025-09833-z
Jérémie Marquès
{"title":"A Criterion for Categories on Which Every Grothendieck Topology is Rigid","authors":"Jérémie Marquès","doi":"10.1007/s10485-025-09833-z","DOIUrl":"10.1007/s10485-025-09833-z","url":null,"abstract":"<div><p>Let <span>(mathbf{C})</span> be a small category. The subtoposes of <span>([mathbf{C}^textrm{op},mathbf{Set}])</span> are sometimes all of the form <span>([mathbf{D}^textrm{op},mathbf{Set}])</span> where <span>(mathbf{D})</span> is a full subcategory of <span>(mathbf{C})</span>. This is the case for instance when <span>(mathbf{C})</span> is Cauchy-complete and finite, an Artinian poset, or the simplex category. We call such a category <i>universally rigid</i>. A universally rigid category whose slices are also universally rigid, such as the aforementioned examples, is called <i>stably universally rigid</i>. We provide two equivalent characterizations of such categories. The first one stipulates the existence of a winning strategy in a two-player game, and the second one combines two “local” properties of <span>(mathbf{C})</span> involving respectively the poset reflections of its slices and its endomorphism monoids.</p></div>","PeriodicalId":7952,"journal":{"name":"Applied Categorical Structures","volume":"33 6","pages":""},"PeriodicalIF":0.5,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10485-025-09833-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145316321","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generation of Virtual Populations for Quantitative Systems Pharmacology Through Advanced Sampling Methods. 通过先进的采样方法为定量系统药理学生成虚拟种群。
IF 2.2 4区 数学
Bulletin of Mathematical Biology Pub Date : 2025-10-17 DOI: 10.1007/s11538-025-01532-z
Miriam Schirru, Tristan Brier, Maxime Petit, Didier Zugaj, Pierre-Olivier Tremblay, Fahima Nekka
{"title":"Generation of Virtual Populations for Quantitative Systems Pharmacology Through Advanced Sampling Methods.","authors":"Miriam Schirru, Tristan Brier, Maxime Petit, Didier Zugaj, Pierre-Olivier Tremblay, Fahima Nekka","doi":"10.1007/s11538-025-01532-z","DOIUrl":"https://doi.org/10.1007/s11538-025-01532-z","url":null,"abstract":"<p><p>Virtual population (Vpop) generation is a central component of quantitative systems pharmacology (QSP), involving the sampling of parameter sets that represent physiologically plausible patients (PPs) and capture observed inter-individual variability in clinical outcomes. This approach poses challenges due to the high dimensionality and often non-identifiability nature of many QSP models. In this study, we evaluate the performance of the DREAM(ZS) algorithm, a multi-chain adaptive Markov chain Monte Carlo (MCMC) method for generating Vpop. Using the Van De Pas model of cholesterol metabolism as a case study, we compare DREAM(ZS) to the single-chain Metropolis-Hastings (MH) algorithm adopted by Rieger et al. Our comparison focuses on convergence behavior, parametric diversity, and posterior coverage, in relation to the ability of each method to explore complex parameter distributions and maintain outcomes correlations. DREAM(ZS) demonstrates superior exploration of the parameter space, reducing boundary accumulation effects common in traditional MH sampling, and restoring parameter correlation structures. These advantages are attributed in part to its adaptive proposal mechanism and the use of a bias-corrected likelihood formulation, which together contribute to a better parameters space sampling without compromising model fit. Our findings contribute to the ongoing development of efficient sampling methodologies for high-dimensional biological models, introducing a promising and easy to use alternative for Vpop generation in QSP, expanding the methodological approaches for in silico trial simulation.</p>","PeriodicalId":9372,"journal":{"name":"Bulletin of Mathematical Biology","volume":"87 11","pages":"165"},"PeriodicalIF":2.2,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145312197","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Asymptotic Completeness for Short-Range (N)-Body Systems Revisited 近程(N) -体系统的渐近完备性
IF 0.7 4区 数学
Functional Analysis and Its Applications Pub Date : 2025-10-17 DOI: 10.1134/S1234567825030097
Erik Skibsted
{"title":"Asymptotic Completeness for Short-Range (N)-Body Systems Revisited","authors":"Erik Skibsted","doi":"10.1134/S1234567825030097","DOIUrl":"10.1134/S1234567825030097","url":null,"abstract":"<p> We review Yafaev’s approach to asymptotic completeness for systems of particles mutually interacting with short-range potentials. The resulting theory is based on computation of commutators with time-independent (mostly bounded) observables yielding a sufficient supply of Kato smoothness bounds. </p>","PeriodicalId":575,"journal":{"name":"Functional Analysis and Its Applications","volume":"59 3","pages":"330 - 346"},"PeriodicalIF":0.7,"publicationDate":"2025-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145315638","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","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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