Results 11 to 20 of about 644,231 (86)
Applications of Combinatorial Analysis to the Calculation of the Partition Function of the Ising Model [PDF]
The research work discussed in this thesis investigated the application of combinatorics and graph theory in the analysis of the partition function of the Ising Model. Chapter 1 gives a general introduction to the partition function of the Ising Model
Lin, Ming-Shr Matt
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DiskScissors: Cutting Arbitrary‐Topology Solids for Bijective Mapping
Abstract An algorithm for cutting solid objects in a topology‐controlled manner is presented. Concretely, given a loop on the object boundary, a disk‐topology cut surface bounded by the loop is constructed in the interior. In contrast to various previous approaches, both disk topology and conformance to the prescribed loop are ensured by construction ...
S. Hinderink, M. Campen
wiley +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
International Journal of Mathematical Combinatorics, Vol.2A [PDF]
The International J.Mathematical Combinatorics (ISSN 1937-1055) is a fully refereed international journal, sponsored by the MADIS of Chinese Academy of Sciences and published in USA quarterly comprising 460 pages approx.
Mao, Linfan (Editor-in-Chief)
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Universal properties of Delannoy categories
Abstract Recently, Harman and Snowden introduced a new symmetric tensor category Perm̲(G,μ)$\operatorname{\underline{Perm}}(G, \mu)$ associated with an oligomorphic group G$G$ with a measure μ$\mu$. When G$G$ is the group of order‐preserving self‐bijections of the real line there are four such measures, and the resulting tensor categories are called ...
Kevin Coulembier +2 more
wiley +1 more source
Wasserstein rigidity over Rn$\mathbb {R}^n$ with smooth norms
Abstract We study p−Wasserstein$p-{\rm Wasserstein}$ spaces Wp(Rn,dN)$ \mathcal {W}_p(\mathbb {R}^n, d_N)$ over Rn$\mathbb {R}^n$ equipped with a norm metric dN$d_N$. We show that, if the norm is smooth enough, then the Wasserstein space is isometrically rigid whenever p≠2$p \ne 2$.
Zoltán M. Balogh +3 more
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SMARANDACHE MULTI-SPACE THEORY, Second Edition [PDF]
We are used to the idea that our space has three dimensions: length, breadth and height with time providing the fourth dimension of spacetime by Einstein. In the string or superstring theories, we encounter 10 dimensions.
MAO, Linfan
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Convergence and combinatorics of the Reverse algorithm
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito +2 more
wiley +1 more source
Abstract The tropical n$n$‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for n=2,3$n = 2,3$ were established. In this paper, we explore the construction for n=4$n = 4$ and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which ...
Felix Röhrle, Thomas Saillez
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Cartwright–Sturmfels Hilbert schemes
Abstract Let S$S$ be the Cox ring of a product of r$r$ projective spaces. In this paper, we study the Cartwright–Sturmfels Hilbert schemes of S$S$, which are multigraded Hilbert schemes that parameterize only radical ideals. Our main result shows that these Hilbert schemes are always smooth and irreducible if the Picard rank r$r$ is at most 2.
Ritvik Ramkumar, Alessio Sammartano
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