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Sharp upper bounds of p-capacity in convex cone and asymptotically flat half-space 凸锥和渐近平坦半空间中p-容量的尖锐上界
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-12 DOI: 10.1007/s11005-026-02062-y
Jiabin Yin, Xingjian Zhou
{"title":"Sharp upper bounds of p-capacity in convex cone and asymptotically flat half-space","authors":"Jiabin Yin,&nbsp;Xingjian Zhou","doi":"10.1007/s11005-026-02062-y","DOIUrl":"10.1007/s11005-026-02062-y","url":null,"abstract":"<div><p>In this paper, we prove some sharp upper bounds for <i>p</i>-capacity inequalities of star-shaped hypersurfaces with free boundary in convex cones by inverse mean curvature flow with Neumann boundary condition. As a second result, we establish a sharp upper bound for the <i>p</i>-capacity of the surface and mass-<i>p</i>-capacity inequality in 3-dimensional asymptotically flat half-space which generalized Silva’s results (Lett Math Phys 115(2): 19 pp, 2025), by using weak inverse mean curvature flow for surfaces with free boundary.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441130","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
Error exponent of activated non-signaling-assisted classical-quantum channel coding 激活非信号辅助经典量子信道编码的误差指数
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-12 DOI: 10.1007/s11005-026-02061-z
Aadil Oufkir, Marco Tomamichel, Mario Berta
{"title":"Error exponent of activated non-signaling-assisted classical-quantum channel coding","authors":"Aadil Oufkir,&nbsp;Marco Tomamichel,&nbsp;Mario Berta","doi":"10.1007/s11005-026-02061-z","DOIUrl":"10.1007/s11005-026-02061-z","url":null,"abstract":"<div><p>We provide a tight asymptotic characterization of the error exponent for classical-quantum channel coding assisted by activated non-signaling correlations. Namely, we find that the optimal exponent—also called reliability function—is equal to the well-known sphere packing bound, which can be written as a single-letter formula optimized over Petz-Rényi divergences. Remarkably, there is no critical rate and as such our characterization remains tight for arbitrarily low rates below the capacity. On the achievability side, we further extend our results to fully quantum channels. Our proofs rely on semi-definite program duality and a dual representation of the Petz-Rényi divergences via Young inequalities.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147441131","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
Modular time evolution and the QNEC 模时间演化与QNEC
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-06 DOI: 10.1007/s11005-026-02044-0
Stefan Hollands
{"title":"Modular time evolution and the QNEC","authors":"Stefan Hollands","doi":"10.1007/s11005-026-02044-0","DOIUrl":"10.1007/s11005-026-02044-0","url":null,"abstract":"<div><p>We establish an inequality restricting the evolution of states in quantum field theory with respect to the modular flow of a wedge, <span>(Delta ^{is})</span>, for large |<i>s</i>|. Our bound is related to the quantum null energy condition, QNEC. In one interpretation, it can be seen as providing a “chaos bound” <span>(le 2pi )</span> on the Lyapunov exponent with respect to Rindler time, <i>s</i>. Mathematically, our inequality is a statement about half-sided modular inclusions of von Neumann algebras.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02044-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147363078","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
Complete classification of directed quantum graphs on (M_2) 有向量子图的完全分类 (M_2)
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-04 DOI: 10.1007/s11005-026-02052-0
Nina Kiefer, Björn Schäfer
{"title":"Complete classification of directed quantum graphs on (M_2)","authors":"Nina Kiefer,&nbsp;Björn Schäfer","doi":"10.1007/s11005-026-02052-0","DOIUrl":"10.1007/s11005-026-02052-0","url":null,"abstract":"<div><p>In 2022, Gromada and Matsuda classified undirected quantum graphs on the matrix algebra <span>(M_2)</span> (Gromada in Lett Math Phys 112:122, 2022; Matsuda in J Math Phys. 63:092201, 2022). Later, Wasilweski provided a solid theory of directed quantum graphs (Wasilewski in 29:1281–1317, 2024) which was formerly only established for undirected quantum graphs. Using this framework we extend the results of Matsuda and Gromada, and present a complete classification of directed quantum graphs on <span>(M_2)</span>. Most prominently, we observe that there is a far bigger range of directed quantum graphs than of undirected quantum graphs on <span>(M_2)</span>. Moreover, for quantum graphs on a nontracial quantum set <span>((M_2, psi ))</span> we illustrate the difference between GNS- and KMS-undirected quantum graphs.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02052-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362667","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
Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson–Walker spacetimes 广义Robertson-Walker时空中随机完全极大超曲面的刚性结果
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-04 DOI: 10.1007/s11005-026-02064-w
María Á. Medina, José A. S. Pelegrín
{"title":"Rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson–Walker spacetimes","authors":"María Á. Medina,&nbsp;José A. S. Pelegrín","doi":"10.1007/s11005-026-02064-w","DOIUrl":"10.1007/s11005-026-02064-w","url":null,"abstract":"<div><p>In this article, we obtain new rigidity results for stochastically complete maximal hypersurfaces in Generalized Robertson–Walker spacetimes that satisfy the Null Energy Condition. Under appropiate geometric assumptions, we prove new parametric uniqueness and nonexistence results as well as obtain a Calabi–Bernstein-type result for the maximal hypersurface equation in these ambient spacetimes.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362669","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
Arithmetic field theory via pro-p duality groups 通过亲p对偶群的算术场论
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-04 DOI: 10.1007/s11005-026-02058-8
Oren Ben-Bassat, Nadav Gropper
{"title":"Arithmetic field theory via pro-p duality groups","authors":"Oren Ben-Bassat,&nbsp;Nadav Gropper","doi":"10.1007/s11005-026-02058-8","DOIUrl":"10.1007/s11005-026-02058-8","url":null,"abstract":"<div><p>Using the theory of pro-<i>p</i> groups and relative Poincaré duality, we define a type of cobordism category well suited to arithmetic topology. We completely classify topological quantum field theories on these two-dimensional versions of our cobordism categories. This classification uses Frobenius algebras with extra operations corresponding to automorphisms of the p-adic integers. We look in more detail at the example of arithmetic Dijkgraff–Witten theory for a finite gauge p-group in this setting. This allows us to deduce formulae counting Galois extensions of local p-adic fields whose Galois groups are the given gauge group.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02058-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362666","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
Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way 三角上的二变量雅可比多项式的代数解释：五边形方式
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-04 DOI: 10.1007/s11005-026-02056-w
Nicolas Crampé, Quentin Labriet, Lucia Morey, Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
{"title":"Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way","authors":"Nicolas Crampé,&nbsp;Quentin Labriet,&nbsp;Lucia Morey,&nbsp;Satoshi Tsujimoto,&nbsp;Luc Vinet,&nbsp;Alexei Zhedanov","doi":"10.1007/s11005-026-02056-w","DOIUrl":"10.1007/s11005-026-02056-w","url":null,"abstract":"<div><p>The rank two Jacobi algebra <span>(mathcal {J}_2)</span> is used to provide an interpretation of the two-variable Jacobi polynomials <span>(J_{n,k}^{(a,b,c)}(x,y))</span> on the triangle, as overlaps between two representation bases. The subalgebra structure of <span>(mathcal {J}_2)</span> depicted via a pentagonal graph is exploited to find the explicit expression of the two-variable functions in terms of univariate Jacobi polynomials. It is also seen to provide an explanation for the fact that the expansion on the basis <span>(J_{n,k}^{(a,b,c)}(x,y))</span> of the polynomials obtained from the latter by permuting the variables <span>(x,y, z=1-x-y)</span> and the parameters (<i>a</i>, <i>b</i>, <i>c</i>) is given in terms of Racah polynomials. The underlying order-three symmetry is discussed.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147362668","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
A rigorous formulation of density functional theory for spinless fermions in one dimension 一维无自旋费米子密度泛函理论的严格表述
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-03 DOI: 10.1007/s11005-026-02051-1
Thiago Carvalho Corso
{"title":"A rigorous formulation of density functional theory for spinless fermions in one dimension","authors":"Thiago Carvalho Corso","doi":"10.1007/s11005-026-02051-1","DOIUrl":"10.1007/s11005-026-02051-1","url":null,"abstract":"<div><p>In this paper, we present a completely rigorous formulation of Kohn–Sham density functional theory for spinless fermions living in one-dimensional space. More precisely, we consider Schrödinger operators of the form </p><div><div><span>$$begin{aligned} H_N(v,w) = -Delta + sum _{ine j}^N w(x_i,x_j) + sum _{j=1}^N v(x_i) quad hbox {acting on }bigwedge ^N textrm{L}^2([0,1]), end{aligned}$$</span></div></div><p>where the external and interaction potentials <i>v</i> and <i>w</i> belong to a suitable class of distributions. In this setting, we obtain a complete characterization of the set of pure-state <i>v</i>-representable densities on the interval. Then, we prove a Hohenberg–Kohn theorem that applies to the class of distributional potentials studied here. Lastly, we establish the differentiability of the exchange-correlation functional and therefore the existence of a unique exchange-correlation potential. We then combine these results to provide a rigorous formulation of the Kohn–Sham scheme. In particular, these results show that the Kohn–Sham scheme is rigorously exact in this setting.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02051-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147336879","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
Localization for random coupled harmonic oscillators on (mathbb {Z}^d) 随机耦合谐振子的局部化 (mathbb {Z}^d)
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-03-02 DOI: 10.1007/s11005-026-02048-w
Hongzi Cong, Yunfeng Shi, Zhihan Zhang
{"title":"Localization for random coupled harmonic oscillators on (mathbb {Z}^d)","authors":"Hongzi Cong,&nbsp;Yunfeng Shi,&nbsp;Zhihan Zhang","doi":"10.1007/s11005-026-02048-w","DOIUrl":"10.1007/s11005-026-02048-w","url":null,"abstract":"<div><p>In this paper, we consider the localization properties of coupled harmonic oscillators in random media. Each of these oscillators is restricted to the lattice <span>(mathbb {Z}^d)</span>. We show that for most localized initial states and an arbitrarily chosen realization of the random media, most of the solutions of the coupled system remain localized over a sub-exponential time scale, in the Sobolev space.\u0000</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-03-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147335787","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
Finite index quantum subgroups of discrete quantum groups 离散量子群的有限指标量子子群
IF 1.4 3区 物理与天体物理
Letters in Mathematical Physics Pub Date : 2026-02-28 DOI: 10.1007/s11005-026-02045-z
Mao Hoshino
{"title":"Finite index quantum subgroups of discrete quantum groups","authors":"Mao Hoshino","doi":"10.1007/s11005-026-02045-z","DOIUrl":"10.1007/s11005-026-02045-z","url":null,"abstract":"<div><p>We show that finite index quantum subgroups of a discrete quantum group are induced from finite index quantum subgroups of the unimodularization. As an application, we classify all finite index quantum subgroups of free products of the duals of connected simply-connected compact Lie groups. We also put proofs for some fundamental facts on finite index right coideals of compact quantum groups.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"116 2","pages":""},"PeriodicalIF":1.4,"publicationDate":"2026-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11005-026-02045-z.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147342920","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
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