Publications by Thomas Mountford

Search for high-mass exclusive diphoton production with tagged protons in proton-proton collisions at √s=13 TeV

Matthias Finger, Qian Wang, Varun Sharma, Konstantin Androsov, Jan Steggemann, Ian Smith, Xin Chen, Rakesh Chawla, Michele De Palma, Matteo Galli

A search is presented for high-mass exclusive diphoton production via photon-photon fusion in proton-proton collisions at root s = 13 TeV in events where both protons survive the interaction. The analysis utilizes data corresponding to an integrated lumino ...

AMER PHYSICAL SOC2024

Construction and convergence results for stable webs

Thomas Mountford

We introduce a new metric for collections of aged paths and a robust set of conditions implying compactness for set of collections of aged paths in the topology corresponding to this metric. We show that the distribution of stable webs (1

2024

Stable systems with power law conditions for Poisson hail

Thomas Mountford, Zhe Wang

We consider Poisson hail models and characterize up to boundaries the collection of critical moments which guarantee stability. In particular, we treat the case of infinite speed of propagation. ...

Cambridge Univ Press2024

Limit theorems for the trajectory of the self-repelling random walk with directed edges

Thomas Mountford

The self-repelling random walk with directed edges was introduced by Tóth and Vető in 2008 [23] as a nearest-neighbor random walk on Z that is non-Markovian: at each step, the probability to cross a directed edge depends on the number of previous crossings ...

2024

A NEW PROOF OF THE ERDOS-KAC CENTRAL LIMIT THEOREM

Thomas Mountford, Michael Cranston

In this paper we use the Riemann zeta distribution to give a new proof of the Erdos-Kac Central Limit Theorem. That is, if zeta(s) = Sigma(n >= 1) (1)(s)(n) , s > 1, then we consider the random variable X-s with P(X-s = n) = (1) (zeta) ( ...

Amer Mathematical Soc2023

CONVERGENCE AND NONCONVERGENCE OF SCALED SELF-INTERACTING RANDOM WALKS TO BROWNIAN MOTION PERTURBED AT EXTREMA

Thomas Mountford

We use generalized Ray-Knight theorems, introduced by B. Toth in 1996, together with techniques developed for excited random walks as main tools for establishing positive and negative results concerning convergence of some classes of diffusively scaled sel ...

Inst Mathematical Statistics-Ims2023

Measurement of the inclusive and differential t(t)over-bar gamma cross sections in the dilepton channel and effective field theory interpretation in proton-proton collisions at root s=13 TeV

Matthias Finger, Varun Sharma, Olivier Martin, Ian Smith, Jean-François Carlin, Arvind Shah, Rakesh Chawla, Thomas Mountford, Chao Wang, João Miguel das Neves Duarte

The production cross section of a top quark pair in association with a photon is measured in proton-proton collisions in the decay channel with two oppositely charged leptons (e(+/-)mu(-/+), e(+)e(-), or mu(+)mu(-)). The measurement is performed using 138 ...

Springer Nature2022

Virtual reality intervention alleviates dyspnea in patients recovering from COVID pneumonia

Olaf Blanke, Bruno Herbelin, Thomas Mountford, Sophie Jacqueline Andrée Betka

EUROPEAN RESPIRATORY SOC JOURNALS LTD2022

Convergence of random walks with Markovian cookie stacks to Brownian motion perturbed at extrema

Thomas Mountford

We consider one-dimensional excited random walks (ERWs) with i.i.d. Markovian cookie stacks in the non-boundary recurrent regime. We prove that under diffusive scaling such an ERW converges in the standard Skorokhod topology to a multiple of Brownian motio ...

2022

Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet

Robert Dalang, Thomas Mountford

We first consider the additive Brownian motion process (X(s(1), s(2)), (s(1), s(2)) is an element of R-2) defined by X(s(1), s(2)) = Z(1)(s(1)) - Z2(s2), where Z(1) and Z(2) are two independent (two-sided) Brownian motions. We show that with probability 1, ...

POLISH ACAD SCIENCES INST MATHEMATICS-IMPAN2021