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In this paper we prove that, for asymptotically bounded holomorphic functions defined in a polysector in ${\mathbb C}^n$, the existence of a strong asymptotic expansion in Majima's sense following a single multidirection towards the vertex…

复变函数 · 数学 2011-03-24 Alberto Lastra , Jorge Mozo-Fernández , Javier Sanz

We investigate notions of complete representation by partial functions, where the operations in the signature include antidomain restriction and may include composition, intersection, update, preferential union, domain, antidomain, and set…

逻辑 · 数学 2024-10-08 Brett McLean

We present a new criterion, based on commutator methods, for the strong mixing property of unitary representations of topological groups equipped with a proper length function. Our result generalises and unifies recent results on the strong…

动力系统 · 数学 2015-10-02 Serge Richard , Rafael Tiedra de Aldecoa

We consider nonclassical entropy solutions to scalar conservation laws with concave-convex flux functions, whose set of left- and right-hand admissible states across undercompressive shocks is selected by a kinetic function \phi. We…

偏微分方程分析 · 数学 2008-12-23 Marc Laforest , Philippe G. LeFloch

Digital signatures are a powerful cryptographic tool widely employed across various industries for securely authenticating the identity of a signer during communication between signers and verifiers. While quantum digital signatures have…

量子物理 · 物理学 2025-03-11 Wusheng Wang , Masahito Hayashi

Theta identities on genus g Riemann surfaces which decompose simple products of fermion correlation functions with a constraint on their variables are considered. This type of theta identities is, in a sense, dual to Fay s formula, by which…

高能物理 - 理论 · 物理学 2017-11-23 A. G. Tsuchiya

Existing methods for verifying access control policies require the policy to be complete and fully determined before verification can proceed, but in practice policies are developed iteratively, composed from independently maintained…

密码学与安全 · 计算机科学 2026-03-16 Alexander V. Gheorghiu

The energy spectra of two different quantum systems are paired through supersymmetric algorithms. One of the systems is Hermitian and the other is characterized by a complex-valued potential, both of them with only real eigenvalues in their…

量子物理 · 物理学 2020-11-04 Kevin Zelaya , Sara Cruz y Cruz , Oscar Rosas-Ortiz

We consider the situation in which some class of structures has the Strong Amalgamation Property (SAP) with the further requirement that the amalgamating structure can be taken over the set theoretical union of (the images of) the domains…

逻辑 · 数学 2023-01-31 Paolo Lipparini

The notions of N=1 Neveu-Schwarz vertex operator superalgebra over a Grassmann algebra and with odd formal variables and of N=1 Neveu-Schwarz vertex operator superalgebra over a Grassmann algebra and without odd formal variables are…

量子代数 · 数学 2007-05-23 Katrina Deane Barron

A useful kind of continuity of quantum states functions in asymptotic regime is so-called asymptotic continuity. In this paper we provide general tools for checking if a function possesses this property. First we prove equivalence of…

量子物理 · 物理学 2009-11-11 Barbara Synak-Radtke , Michal Horodecki

In case of incomplete database tables, a possible world is obtained by replacing any missing value by a value from the corresponding attribute's domain that can be infinite. A possible key or possible functional dependency constraint is…

数据库 · 计算机科学 2024-02-08 Munqath Al-atar , Attila Sali

In their seminal work on authentication, Wegman and Carter propose that to authenticate multiple messages, it is sufficient to reuse the same hash function as long as each tag is encrypted with a one-time pad. They argue that because the…

信息论 · 计算机科学 2014-09-30 Christopher Portmann

We prove the first meta-complexity characterization of a quantum cryptographic primitive. We show that one-way puzzles exist if and only if there is some quantum samplable distribution of binary strings over which it is hard to approximate…

密码学与安全 · 计算机科学 2024-10-08 Bruno P. Cavalar , Eli Goldin , Matthew Gray , Peter Hall

Existence results for Hilbert's problem 13th mean that any equation constructed by continue functions can be given solution represented as a superposition of continue functions of one variable or of continue functions of two variables.…

综合数学 · 数学 2016-05-03 ZiQian Wu

We introduce a new and general mechanism for superconductivity in Fermi systems with strong repulsive interaction. Because kinetic terms are small compared to the bare repulsion, the dynamic of charge carriers is constrained by the the…

超导电性 · 物理学 2022-07-22 Valentin Crépel , Liang Fu

We construct a new class of operators that act on symmetric functions with two deformation parameters $q$ and $t$. Our combinatorial construction associates each operator with a specific lattice path, whose steps alternate between moving up…

组合数学 · 数学 2025-06-09 Houcine Ben Dali , Valentin Bonzom , Maciej Dołęga

We show the following hold, unconditionally unless otherwise stated, relative to a random oracle: - There are NP search problems solvable by quantum polynomial-time machines but not classical probabilistic polynomial-time machines. - There…

量子物理 · 物理学 2024-11-12 Takashi Yamakawa , Mark Zhandry

In 1989, A. J. Duran [Proc. Amer. Math. Soc. 107 (1989), 731-741] showed, that for every complex sequence $(s_\alpha)_{\alpha\in\mathbb{N}_0^n}$ there exists a Schwartz function $f\in\mathcal{S}(\mathbb{R}^n,\mathbb{C})$ with…

泛函分析 · 数学 2025-09-16 Philipp J. di Dio

For any hyperbolic rational map and any net of Borel probability measures on the space of Borel probability measures on the Julia set, we show that this net satisfies a strong form of the large deviation principle with a rate function given…

动力系统 · 数学 2009-05-13 Henri Comman