A poset has the non-messing-up property if it has two covering sets of disjoint saturated chains so that for any labeling of the poset, sorting the labels along one set of chains and then sorting the labels along the other set yields a linear extensi...
We consider Hidden Markov Chains obtained by passing a Markov Chain with rare transitions through a noisy memoryless channel. We obtain asymptotic estimates for the entropy of the resulting Hidden Markov Chain as the transition rate is reduced to zer...
The modularization of Service Function Chains (SFCs) in Network Function Virtualization (NFV) could introduce significant performance overhead and resource efficiency degradation due to introducing frequent packet transfer and consuming much more har...
The proceedings of ChainScience 2023 epitomize the integration of various scientific disciplines with the dynamic world of blockchain and AI. This collection, encapsulating both full and short papers, as well as posters, delves into areas such as cry...
This paper presents a remarkable advance for the understanding of MIMO capacity limits with insufficient RF chains. The capacity is characterized by the maximum mutual information given any vector inputs subject to not only an average power constrain...
God of War: Chains of Olympus is a 2008 action-adventure game developed by Ready at Dawn, and published by Sony Computer Entertainment (SCE). It was first
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Average molecular weight is defined as the weight average of the molecular weights of polymer chains, incorporating the mass of individual chains, where larger molecules contribute more significantly to …
We study the entropy of entanglement of the ground state in a wide family of one-dimensional quantum spin chains whose interaction is of finite range and translation invariant. Such systems can be thought of as generalizations of the XY model. The...
The ground state of spin-1 Haldane chains is characterized by the so-called string order. We show that the same hidden order is also present in ordinary one-dimensional band insulators. We construct a family of Hamiltonians which connects adiabatic...
We review the fact that U(1) gauge symmetry enables the mapping of one-dimensional Hubbard chains with Rashba-type spin orbit coupling to renormalized Hubbard Hamiltonians. The existence of the mapping has important consequences for the interpretatio...
A survey of a variety of computational procedures for finding the mean first passage times in Markov chains is presented. The author recently developed a new accurate computational technique, an Extended GTH Procedure, Hunter (Special Matrices, 2016)...
Sep 7, 2024 · Topological Markov chains: how does this computation of 'entropy' work? Ask Question Asked 1 year, 5 months ago Modified 1 year, 5 months ago
This paper is composed of two main results concerning chains of infinite order which are not necessarily continuous. The first one is a decomposition of the transition probability kernel as a countable mixture of unbounded probabilistic context trees...
In this paper we extend the notion of Addition Chains over Z+ to a general set S. We explain how the algebraic structure of Assembly Multi-Magma over the pairs (S,BB proper subset of S) allows to define the concept of Addition Chain over S, called As...
The vast majority of products we use daily are supplied to us through complex global supply chains that transform raw materials into finished goods and distribute them to end consumers. This paper proposes a modeling methodology for dynamic competiti...
We study certain properties of the function space of autocorrelation functions of Unit Continuous Time Markov Chains (CTMCs). It is shown that under particular conditions, the $L^p$ norm of the autocorrelation function of arbitrary finite state space...
Motivated by various applications, we describe the scaling limits of bivariate Markov chains $(X,J)$ on $\mathbb Z_+ \times \{1,\ldots,κ\}$ where $X$ can be viewed as a position marginal and $\{1,\ldots,κ\}$ is a set of $κ$ types. The chain starts...
α1(V)2 α2(V). These procollagen molecules are made up of three different α -polypeptide chains. These α -polypeptide chains are α1(V), α2(V), and α3(V). Different
We consider equilibrium folding transitions in lattice protein models with and without side chains. A dimensionless measure, $Omega_{c}$, is introduced to quantitatively assess the degree of cooperativity in lattice models and in real proteins. We...