3 citations · 4 across the 10 of their papers we have counts for
13 papers
Pure or Unstable: A Generic Dichotomy for Strong Stackelberg Commitments
Kamil Bulinski, Lang White, Hung Nguyen
We study the robustness of the Strong Stackelberg Equilibrium (SSE) in finite leader--follower games when the follower's best-response correspondence is set-valued. While optimisti…
Counting elements of the congruence subgroup
Kamil Bulinski, Igor E. Shparlinski
We obtain asymptotic formulas for the number of matrices in the congruence subgroup \[ Γ_0(Q) = \left\{ A\in\mathrm{SL}_2(\mathbb Z):~c \equiv 0 \pmod Q\right\}, \] which are of na…
Counting embeddings of free groups into and its subgroups
Kamil Bulinski, Alina Ostafe, Igor E. Shparlinski
We show that if one selects uniformly independently and identically distributed matrices from a ball of large radius then with…
Glasner property for linear group actions and their products
Kamil Bulinski, Alexander Fish
A theorem of Glasner from 1979 shows that if is infinite then for each there exists an integer such that is -dense…
Arithmetic subtrees in large subsets of products of trees
Kamil Bulinski, Alexander Fish
Furstenberg-Weiss have extended Szemerédi's theorem on arithmetic progressions to trees by showing that a large subset of the tree contains arbitrarily long arithmetic subtrees. We…
Reconstructing a minimal topological dynamical system from a set of return times
Kamil Bulinski, Alexander Fish
We investigate to what extent a minimal topological dynamical system is uniquely determined by a set of return times to some open set. We show that in many situations this is indee…
Glasner property for unipotently generated group actions on tori
Kamil Bulinski, Alexander Fish
A theorem of Glasner from 1979 shows that if is infinite then for each there exists an integer such that is -dense…
Quantitative twisted patterns in positive density subsets
Kamil Bulinski, Alexander Fish
We make quantitative improvements to recently obtained results on the structure of the image of a large difference set under certain quadratic forms and other homogeneous polynomia…
Twisted Recurrence via Polynomial Walks
Kamil Bulinski, Alexander Fish
In this paper we show how polynomial walks can be used to establish a twisted recurrence for sets of positive density in . In particular, we prove that if $Γ\leq \ope…
Spherical Recurrence and locally isometric embeddings of trees into positive density subsets of
Kamil Bulinski
Magyar has shown that if has positive upper density , then the set of squared distances …
Multidimensional lower density versions of Plünnecke's inequality
Kamil Bulinski
We investigate the lower asymptotic density of sumsets in by proving certain Plünnecke type inequalities for various notions of lower density in . More…
Twisted patterns in large subsets of
Michael Björklund, Kamil Bulinski
Let be a set of positive upper Banach density and let be a finitely generated, strongly irreducible subgroup whose Zar…
Plünnecke inequalities for measure graphs with applications
Kamil Bulinski, Alexander Fish
We generalize Petridis's new proof of Plünnecke's graph inequality to graphs whose vertex set is a measure space. Consequently, this gives new Plünnecke inequalities for measure pr…