Zobrazeno 1 - 10
of 305
pro vyhledávání: '"Pemantle, Robin"'
Let F be the quotient of an analytic function with a product of linear functions. Working in the framework of analytic combinatorics in several variables, we compute asymptotic formulae for the Taylor coefficients of F using multivariate residues and
Externí odkaz:
http://arxiv.org/abs/2207.00717
Publikováno v:
Stud. Appl. Math. 2021; 1- 27
We consider a spatial (line) model for invasion of a population by a single mutant with a stochastically selectively neutral fitness landscape, independent from the fitness landscape for non-mutants. This model is similar to those considered in Farha
Externí odkaz:
http://arxiv.org/abs/2005.13491
On complex algebraic varieties, height functions arising in combinatorial applications fail to be proper. This complicates the description and computation via Morse theory of key topological invariants. Here we establish checkable conditions under wh
Externí odkaz:
http://arxiv.org/abs/1905.05250
We explain a discontinuous drop in the exponential growth rate for certain multivariate generating functions at a critical parameter value, in even dimensions d at least 4. This result depends on computations in the homology of the algebraic variety
Externí odkaz:
http://arxiv.org/abs/1905.04174
Autor:
Darling, R. W. R., Pemantle, Robin
Continuous time branching models are used to create random fractals in a Euclidean space, whose Hausdorff dimension is controlled by an input parameter. Finite realizations are applied in modelling the set of sites visited in models of human and anim
Externí odkaz:
http://arxiv.org/abs/1805.09443
We consider the number of partitions of $n$ whose Young diagrams fit inside an $m \times \ell$ rectangle; equivalently, we study the coefficients of the $q$-binomial coefficient $\binom{m+\ell}{m}_q$. We obtain sharp asymptotics throughout the regime
Externí odkaz:
http://arxiv.org/abs/1805.08375
We explore the survival function for percolation on Galton-Watson trees. Letting $g(T,p)$ represent the probability a tree $T$ survives Bernoulli percolation with parameter $p$, we establish several results about the behavior of the random function $
Externí odkaz:
http://arxiv.org/abs/1805.03693
We consider asymptotics of power series coefficients of rational functions of the form $1/Q$ where $Q$ is a symmetric multilinear polynomial. We review a number of such cases from the literature, chiefly concerned either with positivity of coefficien
Externí odkaz:
http://arxiv.org/abs/1804.10929
The insertion-deletion channel takes as input a bit string ${\bf x}\in\{0,1\}^{n}$, and outputs a string where bits have been deleted and inserted independently at random. The trace reconstruction problem is to recover $\bf x$ from many independent o
Externí odkaz:
http://arxiv.org/abs/1801.04783