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We study the phase diagram of a class of models in which a generalized cluster interaction can be quenched by Ising exchange interaction and external magnetic field. We characterize the various phases through winding numbers. They may be…

Statistical Mechanics · Physics 2017-09-06 Wei Nie , Feng Mei , Luigi Amico , Leong Chuan Kwek

We develop a transitional geometry, that is, a family of geometries of constant curvatures which makes a continuous connec-tion between the hyperbolic, Euclidean and spherical geometries. In this transitional setting, several geometric…

Geometric Topology · Mathematics 2014-11-24 Athanase Papadopoulos , Norbert A'Campo

Resonant-exchange scattering plays a key role in many-body dynamics and transport phenomena (such as spin, charge, or excitation diffusion) at low and moderate temperatures. Recent investigations have shown that the locking of phase shifts…

Quantum Physics · Physics 2025-08-14 I. Simbotin , R. Côté

State surfaces are spanning surfaces of links that are obtained from link diagrams guided by the combinatorics underlying Kauffman's construction of the Jones polynomial via state models. Geometric properties of such surfaces are often…

Geometric Topology · Mathematics 2018-04-17 Efstratia Kalfagianni

Visual representations can be defined as the activations of neuronal populations in response to images. The activation of a neuron as a function over all image space has been described as a "tuning landscape". As a function over a…

Neurons and Cognition · Quantitative Biology 2022-12-29 Binxu Wang , Carlos R. Ponce

The dynamics of the deformations of a moving contact line on a disordered substrate is formulated, taking into account both local and hydrodynamic dissipation mechanisms. It is shown that both the coating transition in contact lines…

Soft Condensed Matter · Physics 2009-11-07 Ramin Golestanian , Elie Raphael

Understanding how climate change will affect oceanic fluid transport is crucial for environmental applications and human activities. However, a synoptic characterization of the influence of climate change on mesoscale stirring and transport…

We study random subcube intersection graphs, that is, graphs obtained by selecting a random collection of subcubes of a fixed hypercube $Q_d$ to serve as the vertices of the graph, and setting an edge between a pair of subcubes if their…

Probability · Mathematics 2015-06-04 Victor Falgas-Ravry , Klas Markström

We consider the ground-state properties of the s=1/2 Ising chain in a transverse field which varies regularly along the chain having a period of alternation 2. Such a model, similarly to its uniform counterpart, exhibits quantum phase…

Statistical Mechanics · Physics 2007-05-23 Oleg Derzhko , Taras Krokhmalskii

Using Monte Carlo techniques, Ising models with ferromagnetic nearest-neighbor interactions on a simple cubic lattice are studied. At the surface transition, the critical exponent $\beta_2$ of the edge magnetization is found to be…

Condensed Matter · Physics 2009-10-31 M. Pleimling , W. Selke

In this paper we determine the region of variability for spirallike funcions with respect to a boundary point. In the final section we graphically illustrate the region of variability for several sets of parameters.

Complex Variables · Mathematics 2009-08-08 S. Ponnusamy , A. Vasudevarao , M. Vuorinen

From transportation networks to complex infrastructures, and to social and communication networks, a large variety of systems can be described in terms of multiplexes formed by a set of nodes interacting through different networks (layers).…

Statistical Mechanics · Physics 2015-06-16 Davide Cellai , Eduardo López , Jie Zhou , James P. Gleeson , Ginestra Bianconi

The effects of the residual proton-neutron interactions on bandcrossing features are studied by means of shell model calculations for nucleons in a high-j intruder orbital. The presence of an odd-nucleon shifts the frequency of the…

Nuclear Theory · Physics 2009-10-31 S. Frauendorf , J. A. Sheikh

Region extraction is a very common task in both Computer Science and Engineering with several applications in object recognition and motion analysis, among others. Most of the literature focuses on regions delimited by straight lines, often…

Numerical Analysis · Mathematics 2021-12-07 Pablo Antolin , Annalisa Buffa , Emiliano Cirillo

People organize in groups and contagions spread across them. A simple process, but complex to model due to dynamical correlations within groups and between groups. Groups can also change as agents join and leave them to avoid infection. To…

Physics and Society · Physics 2023-07-24 Giulio Burgio , Guillaume St-Onge , Laurent Hébert-Dufresne

We study tangle replacement in the context of spatial graphs. The main results show that, for certain spatial handcuff graphs, there is a one-to-one correspondence between the neighborhood equivalence classes of the spatial graphs obtained…

Geometric Topology · Mathematics 2025-11-27 Giovanni Bellettini , Giovanni Paolini , Maurizio Paolini , Yi-Sheng Wang

We address the problem of detecting human-object interactions in images using graphical neural networks. Unlike conventional methods, where nodes send scaled but otherwise identical messages to each of their neighbours, we propose to…

Computer Vision and Pattern Recognition · Computer Science 2021-08-18 Frederic Z. Zhang , Dylan Campbell , Stephen Gould

We produce numerical evidence that spikes in the Mixmaster regime of G_2 cosmologies are transient and recurring, supporting the conjecture that the generalized Mixmaster behavior is asymptotically non-local where spikes occur. Higher order…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Woei Chet Lim , Lars Andersson , David Garfinkle , Frans Pretorius

The development of substrates with a switchable wettability is on a fast pace. The limit of switching frequencies and contact angle differences between substrate states are steadily pushed further. We investigate the behavior of a droplet…

Fluid Dynamics · Physics 2022-04-01 Leon Topp , Moritz Stieneker , Svetlana Gurevich , Andreas Heuer

We consider a model of large regulatory gene expression networks where the thresholds activating the sigmoidal interactions between genes and the signs of these interactions are shuffled randomly. Such an approach allows for a qualitative…

Molecular Networks · Quantitative Biology 2007-05-23 D. Volchenkov , R. Lima
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