6 papers
The measure contraction property on Grushin spaces
Michael Albert, Samuël Borza
We determine the sharp measure contraction exponents of two families of Grushin-type metric measure spaces. The radial Grushin space is $\mathbb{R}^{n}\times\mat…
Extending Results on Wilf-Equivalence of Partial Shuffles
Michael Albert, Dominic Searles, Matthew Slattery-Holmes
In 2020, Bloom and Sagan defined subsets of the symmetric group called partial shuffles, and proved a formula for the Schur expansion of the pattern quasisymmetric…
Geodesics on Grushin spaces
Michael Albert, Samuël Borza, Maria Gordina
We consider higher-dimensional generalizations of the -Grushin plane, focusing on the problem of classification of geodesics that minimize length, also known as optimal synthesi…
Post-estimation Adjustments in Data-driven Decision-making with Applications in Pricing
Michael Albert, Max Biggs, Ningyuan Chen +1
The predict-then-optimize (PTO) framework is a standard approach in data-driven decision-making, where a decision-maker first estimates an unknown parameter from historical data an…
Permutation Classes of Polynomial Growth
M. H. Albert, M. D. Atkinson, Robert Brignall
A pattern class is a set of permutations closed under the formation of subpermutations. Such classes can be characterised as those permutations not involving a particular set of fo…
Monotonic Sequence Games
M. Albert, R. Aldred, M. Atkinson +4
In a monotonic sequence game, two players alternately choose elements of a sequence from some fixed ordered set. The game ends when the resulting sequence contains either an ascend…