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2 The goal of this paper is to construct canonical L evy area processes for Banach space valued Brownian motions via dyadic approximations. The signiicance of the existence of canonical L evy areaâ€¦ (More)

- Terry Lyons
- 2016

This paper reports and discusses the principal findings of an Australian study exploring the decisions of high achieving Year 10 students about taking physics and chemistry courses (Lyons, 2003). Theâ€¦ (More)

- Dan Crisan, P. Del Moralz, Terry Lyons
- 1998

The stochastic ltering problem deals with the estimation of the current state of a signal process given the information supplied by an associate process, usually called the observation process. Weâ€¦ (More)

- Horatio Boedihardjo, Xi Geng, Terry Lyons, D. Yang
- 2014

The signature of a path is the collection of all iterated integrals of the path. It plays a fundamental role in rough path theory. B. Hambly and T. Lyons proved that the signature of a boundedâ€¦ (More)

We consider the following backward stochastic equation dY t = âˆ’f 0 (t, Y t , L(M) t)dt âˆ’ d i=1 f i (t, Y t)dB i t + dM t with Y T = Î¾, on a general filtered probability space (â„¦, F , F t , P), whereâ€¦ (More)

We derive explicit tail-estimates for the Jacobian of the solution flow for stochastic differential equations driven by Gaussian rough paths. In particular, we deduce that the Jacobian has finiteâ€¦ (More)

- Navonil Mustafee, Terry Lyons, Paul Rees, Lee Davies, Mark Ramsey, Michael D. Williams
- Proceedings Title: Proceedings of the 2012 Winterâ€¦
- 2012

Simulation has been applied for the management of bed capacities in hospitals. However, the majority of these studies have ignored the application of this technique in specalized and integrated careâ€¦ (More)

- Zecheng Xie, Zenghui Sun, Lianwen Jin, Hao Ni, Terry Lyons
- IEEE Transactions on Pattern Analysis and Machineâ€¦
- 2018

Online handwritten Chinese text recognition (OHCTR) is a challenging problem as it involves a large-scale character set, ambiguous segmentation, and variable-length input sequences. In this paper, weâ€¦ (More)

We derive explicit tail-estimates for the Jacobian of the solution flow for stochastic differential equations driven by Gaussian rough paths. In particular, we deduce that the Jacobian has finiteâ€¦ (More)

- FranÃ§ois Ledrappier, Terry Lyons
- 2006

This is a survey on analysis on non-compact co-compact Riemannian covers and how it relates to random walks on finitely generated groups. The focus is on the long time behavior of the heat kernel andâ€¦ (More)