Probability and Combinatorics
Elliptic Combinatorics and Markov Processes
... In Chapter 2 we collect a few recent results on elliptic hypergeometric functions. We are interested in univariate and multivariate evaluation formulas for integrals and summation formulas for termi- nating ...
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Intersection problems in combinatorics
... Thus if the bound on an intersecting subset of a class X of posets given by our method of cyclic orderings is to be sharp, we need to ensure that X includes all posets of a certain size s (i.e. with s comparisons), ...
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Structure and randomness in extremal combinatorics
... Since Erd˝ os’ [32] introduction of the probabilistic method in the late 1940’s, using ideas from probability has become widespread and fruitful in combinatorics. Whilst it may at first seem ...
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Resource-based Corruptions and the Combinatorics of Hidden Diversity
... success probability α cannot drop much lower than a linear function of the exact hardness of a single copy of f for a much higher inversion success probability 1 − δ, with a factor which explicitly depends ...
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The combinatorics of the cluster and virial expansions
... Furthermore, cluster expansions have been applied to other contexts out- side of statistical mechanics. The methods of cluster expansions are applicable in probability, through resolvent expansions [AbRi94]. They ...
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Druggable chemical space and enumerative combinatorics
... the probability of success with therapeutic targets outside historical mechanistic ...enumerative combinatorics in combination with in silico biological models may represent one ap- proach to enhance and ...
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Continuous optimisation in extremal combinatorics
... some probability and we can place consistency constraints on these proba- bilities that must hold for all regular ...on probability distributions on local views and pose the relaxation as a linear program ...
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The Combinatorics of Transcriptional Regulation
... The fluctuation-based counting method employed here relies on measuring the asymmetries in par- titioning of a TF-fluorescent protein fusion during the cell division process. In this scenario of DNA bound TFs, it is ...
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On the combinatorics of sparsification
... We shall prove that the candidate set [29,31,32] is indeed small. We compute the probability of an interval being a candidate for two different energy models. For both models, this is facilitated via computing the ...
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Discrete Mathematical Structures
... (E) Combinatorics: Combinatorics studies the way in which discrete structures can be combined or ...Enumerative combinatorics concentrates on counting the number of certain combinatorial objects - ...
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Definable Combinatorics of Graphs and Equivalence Relations
... In case X is a standard Borel space, we can consider analogous definable notions of colouring. If α is a class of functions between standard Borel (or Polish) spaces (such as Borel functions), we define the α-chromatic ...
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The Canonical Join Representation in Algebraic Combinatorics.
... In Coxeter-biCatalan combinatorics, we carry out a “doubling” or “twinning” process on each Coxeter-Catalan object, and obtain a new family of enumerative problems. In Exam- ple 1.5.4, we describe the doubled ...
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Topological and Algebraic Combinatorics of Crystal Posets.
... Crystal bases were introduced by Kashiwara when studying modules of quantum groups. These crystals are combinatorial structures that mirror representations of Lie algebras. Each crystal base has an associated crystal ...
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Theory of combinatorial limits and extremal combinatorics
... When the limits of convergent sequences of dense graphs are uniquely de- termined by finitely many density constraints, we call them finitely forcible graph limits. Such objects are closely related to problems in ...
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Well quasi order in combinatorics : embeddings and homomorphisms
... Although well quasi-order originates in the area of order theory, it ap- pears with particular frequency in combinatorics, and indeed seems to be the appropriate language in which to describe and explore various ...
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Combinatorics
... Permutations, Combinations, and the Binomial Theorem 23 A common mistake in an example like this, is to divide the problem into the cases that Jasmine is holding the Ace, or that she is [r] ...
245
COMBINATORICS OF BOSON NORMAL ORDERING AND SOME APPLICATIONS
... This is a very interesting paper that applies techniques from com- binatorics to quantum mechanics. There are deep connections be- tween combinatorics and some of the quantum mechanical formulas which are related ...
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Research on Ordinal Properties in Combinatorics Coding Method
... This article studies the properties of combinatorics coding ordinal. The study indicates that the value of ordinal have a close relationship to the selection of benchmark sequence. To the same sequence, the ...
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On the total product cordial labeling on the cartesian product of $P_{m} imes C_{n}$, $C_{m} imes C_{n}$ and the generalized Petersen graph $P(m,n)$
... A., “A dynamic survey on graph labeling”, The Electronic Journal of Combinatorics , Sixteenth Edition, (2013). [3] Sundaram, M., Ponraj, P.[r] ...
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Probability Theory and Stochastic Processes with Applications - Free Computer, Programming, Mathematics, Technical Books, Lecture Notes and Tutorials
... In the same way as mathematics reaches out into other scientific areas, probability theory has connections with many other branches of mathe matics. The last chapter of these no[r] ...
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