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Related papers: Topological regluing of rational functions

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Formation of a molecular network from multifunctional precursors is modelled with a random graph process. The random graph model favours reactivity for monomers that are positioned close in the network topology, and disfavours reactivity…

Soft Condensed Matter · Physics 2019-08-21 Ivan Kryven , Jorien Duivenvoorden , Joen Hermans , Piet D. Iedema

Topology of Foliations of the Riemann Surfaces given by the real part of generic holomorphic 1-forms, is studied. Our approach is based on the notion of Transversal Canonical Basis of Cycles (TCB) instead of using just one closed…

Geometric Topology · Mathematics 2007-05-23 S. P. Novikov

A closure theory is developed for inhomogeneous turbulent flow, which enables a systematic derivation of the turbulence constitutive relations without relying on any empirical parameters. Renormalized-perturbation approximation is performed…

Fluid Dynamics · Physics 2019-06-26 Taketo Ariki

High-throughput experiments are shedding light on the topology of large regulatory networks and at the same time their functional states, namely the states of activation of the nodes (for example transcript or protein levels) in different…

Molecular Networks · Quantitative Biology 2009-02-13 M. Cosentino Lagomarsino , B. Bassetti , G. Castellani , D. Remondini

Approaching limitations of digital computing technologies have spurred research in neuromorphic and other unconventional approaches to computing. Here we argue that if we want to systematically engineer computing systems that are based on…

Emerging Technologies · Computer Science 2023-08-21 Herbert Jaeger , Beatriz Noheda , Wilfred G. van der Wiel

In this paper, we aim at modelling and analyzing the regulation processes in multi-cellular biological systems, in particular tissues. The modelling framework is based on interconnected logical regulatory networks a la Rene Thomas equipped…

Computational Engineering, Finance, and Science · Computer Science 2010-11-08 Jean-Louis Giavitto , Hanna Klaudel , Franck Pommereau

Topological holography is a holographic principle that describes the generalized global symmetry of a local quantum system in terms of a topological order in one higher dimension. This framework separates the topological data from the local…

Strongly Correlated Electrons · Physics 2025-07-02 Sheng-Jie Huang , Meng Cheng

We define new topological theories related to sigma models whose target space is a 7 dimensional manifold of G_2 holonomy. We show how to define the topological twist and identify the BRST operator and the physical states. Correlation…

High Energy Physics - Theory · Physics 2015-06-26 Jan de Boer , Asad Naqvi , Assaf Shomer

The goal of this paper is to unify two lines in a particular area of graph limits. First, we generalize and provide unified treatment of various graph limit concepts by means of a combination of model theory and analysis. Then, as an…

Combinatorics · Mathematics 2013-03-13 Jaroslav Nesetril , Patrice Ossona De Mendez

Topology identification and inference of processes evolving over graphs arise in timely applications involving brain, transportation, financial, power, as well as social and information networks. This chapter provides an overview of graph…

Signal Processing · Electrical Eng. & Systems 2025-12-12 Gonzalo Mateos , Yanning Shen , Georgios B. Giannakis , Ananthram Swami

Complex prediction models such as deep learning are the output from fitting machine learning, neural networks, or AI models to a set of training data. These are now standard tools in science. A key challenge with the current generation of…

Machine Learning · Computer Science 2022-10-21 Meng Liu , Tamal K. Dey , David F. Gleich

The ability to reroute and control flow is vital to the function of venation networks across a wide range of organisms. By modifying individual edges in these networks, either by adjusting edge conductances or creating and destroying edges,…

Soft Condensed Matter · Physics 2021-01-14 Jason W. Rocks , Andrea J. Liu , Eleni Katifori

The study of geometric group theory has suggested several theorems related to subdivision tilings that have a natural hyperbolic structure. However, few examples exist. We construct subdivision tilings for the complement of every…

Geometric Topology · Mathematics 2011-03-18 Brian C. Rushton

Entropic regularization is a method for large-scale linear programming. Geometrically, one traces intersections of the feasible polytope with scaled toric varieties, starting at the Birch point. We compare this to log-barrier methods, with…

Optimization and Control · Mathematics 2023-02-13 Bernd Sturmfels , Simon Telen , François-Xavier Vialard , Max von Renesse

We define a set of holomorphic functions in terms of the Hauptmodul of a quotient Riemann surface and prove that these functions are holomorphic on the upper half-plane. It is also shown that these functions are automorphic forms of weight…

Complex Variables · Mathematics 2022-11-01 Md. Shafiul Alam

In this article, we study the analytic properties of the multiple polylogarithms in the $s$-aspect. Although the domain of absolute convergence of the series defining the multiple polylogarithms is well-known, the study towards a larger…

Number Theory · Mathematics 2025-11-04 Pawan Singh Mehta , Biswajyoti Saha

The problem of membrane topology in the matrix model of M-theory is considered. The matrix regularization procedure, which makes a correspondence between finite-sized matrices and functions defined on a two-dimensional base space, is…

High Energy Physics - Theory · Physics 2010-04-05 H. Shimada

Covering-based rough set theory is an extension to classical rough set. The main purpose of this paper is to study covering rough sets from a topological point of view. The relationship among upper approximations based on topological spaces…

Databases · Computer Science 2012-07-30 Nguyen Duc Thuan

We determine multiplication and convolution topological algebras for classes of $\omega$-ultradifferentiable functions of Beurling type. Hypocontinuity and discontinuity of the multiplication and convolution mappings are also investigated.

Functional Analysis · Mathematics 2022-01-19 Angela A. Albanese , Claudio Mele

A natural kind of compactification of the virtual moduli spaces of rational functions of one complex variable is given. To describe the boundary points geometrically, the authors introduce the concept of rational functions with nodes,…

Complex Variables · Mathematics 2016-02-16 Masayo Fujimura , Masahiko Taniguchi