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We investigated how the finiteness of the length of the sequence affects the phase transition that takes place at DNA melting temperature. For this purpose, we modified the Transfer Integral method to adapt it to the calculation of both…

生物物理 · 物理学 2011-11-10 Sahin Buyukdagli , Marc Joyeux

We study embedding a subset $K$ of the unit sphere to the Hamming cube $\{-1,+1\}^m$. We characterize the tradeoff between distortion and sample complexity $m$ in terms of the Gaussian width $\omega(K)$ of the set. For subspaces and several…

机器学习 · 计算机科学 2015-12-15 Samet Oymak , Ben Recht

We study the semi-infinite Ising model with an external field $h_i = \lambda |i_d|^{-\delta}$, $\lambda$ is the wall influence, and $\delta>0$. This external field decays as it gets further away from the wall. We are able to show that when…

数学物理 · 物理学 2023-12-01 Rodrigo Bissacot , João Maia

Let $A$ be a finite or countable alphabet and let $\theta$ be literal (anti)morphism onto $A^*$ (by definition, such a correspondence is determinated by a permutation of the alphabet). This paper deals with sets which are invariant under…

离散数学 · 计算机科学 2017-07-28 Jean Néraud , Carla Selmi

First conformal transformations of the $S$-matrix are derived in massless $\phi^4$-theory. Then it is shown that the anomalous transformations can be rewritten as a symmetry once one has introduced a local coupling and interprets the charge…

高能物理 - 理论 · 物理学 2010-07-20 S. Pottel , K. Sibold

In this paper, we investigate coupled quintessence with scaling potential assuming specific forms of the coupling as $A$ namely, $\alpha \dot{\rho_m}$, $\beta \dot{\rho_{\phi}}$ and $\sigma (\dot{\rho_m}+\dot{\rho_{\phi}})$, and present…

广义相对论与量子宇宙学 · 物理学 2015-08-31 M. Shahalam , S. D. Pathak , M. M. Verma , M. Yu. Khlopov , R. Myrzakulov

A topological approach to the theory of equilibrium phase transitions in statistical physics is based on the Topological Hypothesis (TH), which claims that phase transitions are due to changes of the topology of suitable submanifolds in the…

代数拓扑 · 数学 2015-03-17 Michael Farber , Viktor Fromm

The $\eta$ and $\eta^\prime$ transition form factors in the space-like region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. The slope and curvature parameters of the form…

高能物理 - 唯象学 · 物理学 2015-06-19 Rafel Escribano

There are well-known examples of dynamical systems for which the Birkhoff averages with respect to a given observable along some or all of the orbits do not converge. It has been suggested that such orbits could be classified using higher…

动力系统 · 数学 2011-12-02 Thomas Jordan , Vincent Naudot , Todd Young

We propose a protein model based on a hierarchy of constraints that force the protein to follow certain pathways when changing conformation. The model exhibits a first order phase transition, cooperativity and is exactly solvable. It also…

凝聚态物理 · 物理学 2015-06-25 Alex Hansen , Mogens H. Jensen , Kim Sneppen , Giovanni Zocchi

This paper investigates the $\beta$-symmetry of the heterotic string theory at order $\alpha'$ in the context of open spacetime manifolds. Our analysis reveals that the parity-odd component of the effective action at this order remains…

高能物理 - 理论 · 物理学 2023-08-29 Mohammad R. Garousi

Hierarchically structured cellular solids have attracted increasing attention for their superior mass-specific mechanical properties. Using a remeshing-based continuum finite element (FE) framework, we reveal that two-scale metallic…

应用物理 · 物理学 2026-01-21 S. Naresh Chockalingam , Narayan K. Sundaram

We present a complete calculation of the QCD corrections (of the order $\alpha_s$) to the width of the decay $H^+ \to t \bar{b}$ within the Minimal Supersymmetric Standard Model. We find that the QCD corrections are quite important, and…

高能物理 - 唯象学 · 物理学 2011-01-13 A. Bartl , H. Eberl , K. Hidaka , T. Kon , W. Majerotto , Y. Yamada

We study the minimality properties of a new type of "soft" theta functions. For a lattice $L\subset \mathbb{R}^d$, a $L$-periodic distribution of mass $\mu_L$ and an other mass $\nu_z$ centred at $z\in \mathbb{R}^d$, we define, for all…

数学物理 · 物理学 2019-11-13 Laurent Bétermin

We study the group of interval exchange transformations. Let $T$ be an $m$-interval exchange transformation. By the rank of $T$ we mean the dimension of the $\mathbb{Q}$-vector space spanned by the lengths of the exchanged subintervals. We…

动力系统 · 数学 2019-10-28 Daniel Bernazzani

We show that in a weak globular $\omega$-category, all composition operations are equivalent and commutative for cells with sufficiently degenerate boundary, which can be considered a higher-dimensional generalisation of the Eckmann-Hilton…

The stability, robustness, accuracy, and efficiency of space-time finite element methods crucially depend on the choice of approximation spaces for test and trial functions. This is especially true for high-order, mixed finite element…

数值分析 · 数学 2023-08-15 Nilima Nigam , David M. Williams

We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising…

高能物理 - 理论 · 物理学 2011-02-11 R. M. Ellem , V. V. Bazhanov

We continue the research of the relation $\hspace{1mm}\widetilde{\mid}\hspace{1mm}$ on the set $\beta {\mathbb{N}}$ of ultrafilters on ${\mathbb{N}}$, defined as an extension of the divisibility relation. It is a quasiorder, so we see it as…

逻辑 · 数学 2023-06-22 Boris Šobot

In this paper, we take into account the intrinsic charm and gluonic contents into the $\eta-\eta^\prime$ mixing scheme and formulate the tetramixing $\eta-\eta^\prime-G-\eta_c$ to study the mixing properties of $\eta^{(\prime)}$ mesons.…

高能物理 - 唯象学 · 物理学 2025-10-07 Yu-Jie Zhang , Xing-Gang Wu , Dan-Dan Hu , Long Zeng