activity
20062021
most citedWrapping Brownian motion and heat kernels on compact Lie groups

2 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.RT2021

Transferring Fourier Multipliers from Rn to Compact Lie Groups

David G Maher

This paper uses the wrapping map of Dooley and Wildberger to prove Lp boundedness of multipliers on compact Lie groups by transferring the estimate from Rn. This improves the bound…

q-fin.RM2019

How big should a Stress Shock be?

David G Maher

Stress shocks are often calculated as multiples of the standard deviation of a history set. This paper investigates how many standard deviations are required to guarantee that this…

math.RT2010★ 1 cited

Wrapping Brownian motion and heat kernels II: symmetric spaces

David G Maher

In this paper we extend our previous results on wrapping Brownian motion and heat kernels onto compact Lie groups to various symmetric spaces, where a global generalisation of Rouv…

math.RT2010

Wrapping Brownian motion and heat kernels I: compact Lie groups

David G Maher

An important object of study in harmonic analysis is the heat equation. On a Euclidean space, the fundamental solution of the associated semigroup is known as the heat kernel, whic…

q-fin.RM2010

Some Remarks on T-copulas

Volf Frishling, David G Maher

We examine three methods of constructing correlated Student- random variables. Our motivation arises from simulations that utilise heavy-tailed distributions for the purposes of…

math.RT2006★ 2 cited

Wrapping Brownian motion and heat kernels on compact Lie groups

David Maher

The fundamental solution of the heat equation on is known as the heat kernel which is also the transition density of a Brownian motion. Similar statements hold when is…