15 citations · 33 across the 10 of their papers we have counts for
10 papers
Return probability on Bienaymé-Galton-Watson trees and spectral asymptotics of sparse Erdős-Rényi random graphs
Markus Heydenreich, Peter Müller, Sara Terveer
We derive an upper bound for the annealed return probability of the simple random walk on supercritical Bienaymé-Galton-Watson trees. The bound decays subexponentially in time …
A note on Galois groups of linearized polynomials
Peter Müller
Let be a monic -linearized polynomial over of degree , where is an odd prime. Recently Gow and McGuire showed that the Galois group of over the…
On transitive sets of derangements in primitive groups
Peter Müller
We construct a primitive permutation action of the Steinberg triality group of degree and show that there are distinct points such that there is no deran…
Decompositions of rational functions over real and complex numbers and a question about invariant curves
Peter Müller
We consider the connection of functional decompositions of rational functions over the real and complex numbers, and a question about curves on a Riemann sphere which are invariant…
Another Proof of Segre's Theorem about Ovals
Peter Müller
In 1955 B. Segre showed that any oval in a projective plane over a finite field of odd order is a conic. His proof constructs a conic which matches the oval in some points and tang…
Low-degree planar monomials in characteristic two
Peter Mueller, Michael E. Zieve
Planar functions over finite fields give rise to finite projective planes and other combinatorial objects. They exist only in odd characteristic, but recently Zhou introduced an ev…
Galois groups of multivariate Tutte polynomials
Adam Bohn, Peter J. Cameron, Peter Müller
The multivariate Tutte polynomial of a matroid is a generalization of the standard two-variable version, obtained by assigning a separate variable to each elem…
On the non-existence of sharply transitive sets of permutations in certain finite permutation groups
Peter Müller, Gabor P. Nagy
In this short note we present a simple combinatorial trick which can be effectively applied to show the non--existence of sharply transitive sets of permutations in certain finite…
Quadratic Factors of
Manisha Kulkarni, Peter Müller, B. Sury
We classify the pairs of polynomials over a field , such that has a factor of total degree at most 2. This was done by Y. Bilu for characteristic 0 fields .…
The rational function analogue of a question of Schur and exceptionality of permutation representations
Robert M. Guralnick, Peter Müller, Jan Saxl
In 1923 Schur considered the following problem. Let f(X) be a polynomial with integer coefficients that induces a bijection on the residue fields Z/pZ for infinitely many primes p.…