Institute of Mathematical Statistics

output

20022026

most citedDifferential equation approximations for Markov chains

291 citations

Showing 2013Show all

15 papers · 1 filter

math.NA2013

Variable relaxed schemes for multidimensional hyperbolic conservation laws

Shalini Krishnamurthy, Margot Gerritsen

We present a new class of component-wise numerical schemes that are in the family of relaxation formulations, originally introduced by [S. Jin and Z. P. Xin, Comm. Pure Appl. Math.…

math.ST2013

Higher-order accuracy of multiscale-double bootstrap for testing regions

Hidetoshi Shimodaira

We consider hypothesis testing for the null hypothesis being represented as an arbitrary-shaped region in the parameter space. We compute an approximate p-value by counting how man…

math.CO2013

Degrees in oriented hypergraphs and sparse Ramsey theory

Vytautas Gruslys

Let $G$ be an $r$ -uniform hypergraph. When is it possible to orient the edges of $G$ in such a way that every $p$ -set of vertices has some $p$ -degree equal to $0$ ? (The $p$ -degrees…

math.PR2013★ 3 cited

Subcritical $U$ -bootstrap percolation models have non-trivial phase transitions

Paul Balister, Béla Bollobás, Michał Przykucki +1

We prove that there exist natural generalizations of the classical bootstrap percolation model on $Z^{2}$ that have non-trivial critical probabilities, and moreover we chara…

math.NA2013

Pole expansion for solving a type of parametrized linear systems in electronic structure calculations

Anil Damle, Lin Lin, Lexing Ying

We present a new method for solving parametrized linear systems. Under certain assumptions on the parametrization, solutions to the linear systems for all parameters can be accurat…

math.CO2013★ 2 cited

Maximum percolation time in two-dimensional bootstrap percolation

Fabricio Benevides, Michał Przykucki

We consider a classic model known as bootstrap percolation on the $n \times n$ square grid. To each vertex of the grid we assign an initial state, infected or healthy, and then in…