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Thomas Cass
Thomas Cass
Professor of Mathematics, Imperial College London
Adresse e-mail validée de imperial.ac.uk
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Densities for rough differential equations under Hörmander's condition
T Cass, P Friz
Annals of mathematics, 2115-2141, 2010
1302010
Integrability and tail estimates for Gaussian rough differential equations
T Cass, C Litterer, T Lyons
The Annals of Probability 41 (4), 3026-3050, 2013
1252013
Smoothness of the density for solutions to Gaussian rough differential equations
T Cass, M Hairer, C Litterer, S Tindel
The Annals of Probability 43 (1), 188-239, 2015
902015
The Signature Kernel is the solution of a Goursat PDE
C Salvi, T Cass, J Foster, T Lyons, W Yang
SIAM Journal on Mathematics of Data Science 3 (3), 873-899, 2021
792021
Non-degeneracy of Wiener functionals arising from rough differential equations
T Cass, P Friz, N Victoir
Transactions of the American Mathematical Society 361 (6), 3359-3371, 2009
692009
Evolving communities with individual preferences
T Cass, T Lyons
Proceedings of the London Mathematical Society 110 (1), 83-107, 2015
492015
Smooth densities for solutions to stochastic differential equations with jumps
T Cass
Stochastic Processes and their Applications 119 (5), 1416-1435, 2009
482009
SigGPDE: Scaling Sparse Gaussian Processes on Sequential Data
M Lemercier, C Salvi, T Cass, EV Bonilla, T Damoulas, TJ Lyons
International Conference on Machine Learning, 6233-6242, 2021
252021
Tree algebras over topological vector spaces in rough path theory
T Cass, MP Weidner
arXiv preprint arXiv:1604.07352, 2016
232016
Rough paths on manifolds
T Cass, C Litterer, T Lyons
New trends in stochastic analysis and related topics 12, 33-88, 2012
232012
Constrained rough paths
T Cass, BK Driver, C Litterer
Proceedings of the London Mathematical Society 111 (6), 1471-1518, 2015
202015
Integrability estimates for Gaussian rough differential equations
T Cass, C Litterer, T Lyons
arXiv preprint arXiv:1104.1813, 2011
202011
A Stratonovich–Skorohod integral formula for Gaussian rough paths
T Cass, N Lim
The Annals of Probability 47 (1), 1-60, 2019
192019
On the integration of weakly geometric rough paths
T Cass, BK Driver, N Lim, C Litterer
Journal of the Mathematical Society of Japan 68 (4), 1505-1524, 2016
192016
The Bismut-Elworthy-Li formula for jump-diffusions and applications to Monte Carlo pricing in finance
TR Cass, PK Friz
arXiv preprint math/0604311, 2006
162006
Long-time behaviour of degenerate diffusions: UFG-type SDEs and time-inhomogeneous hypoelliptic processes
T Cass, D Crisan, P Dobson, M Ottobre
Electronic Journal of Probability 26, 1-72, 2021
152021
Tail estimates for Markovian rough paths
T Cass, M Ogrodnik
The Annals of Probability 45 (4), 2477-2504, 2017
122017
Malliavin calculus and rough paths
T Cass, P Friz
Bulletin des sciences mathematiques 135 (6-7), 542-556, 2011
122011
Lecture notes on rough paths and applications to machine learning
T Cass, C Salvi
arXiv preprint arXiv:2404.06583, 2024
112024
Weighted signature kernels
T Cass, T Lyons, X Xu
The Annals of Applied Probability 34 (1A), 585-626, 2024
112024
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