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8 papers · 1 filter
Injectivity Radius of Lorentzian Manifolds
Bing-Long Chen, Philippe G. LeFloch
Motivated by the application to spacetimes of general relativity we investigate the geometry and regularity of Lorentzian manifolds under certain curvature and volume bounds. We es…
Rank One Solvable p-adic Differential Equation and Finite Abelian Characters via Lubin-Tate groups
Andrea Pulita
We introduce a new class of exponentials of Artin-Hasse type, called -exponentials. These exponentials depends on the choice of a generator of the Tate…
Karhunen-Loève expansions of mean-centered Wiener processes
Paul Deheuvels
For , we provide the Karhunen-Loève expansion of the weighted mean-centered Wiener process, defined by \[W _γ(t)=\frac{1}{\sqrt{1+2γ}}\Big\{W\big(t^{1+2γ}\big)- \int_0^1W…
On the excursion theory for linear diffusions
Paavo Salminen, Pierre Vallois, Marc Yor
We present a number of important identities related to the excursion theory of linear diffusions. In particular, excursions straddling an independent exponential time are studied i…
Gravitational Dynamics of an Infinite Shuffled Lattice: Particle Coarse-grainings, Non-linear Clustering and the Continuum Limit
T. Baertschiger, M. Joyce, A. Gabrielli +1
We study the evolution under their self-gravity of infinite ``shuffled lattice'' particle distributions, focussing specifically on the comparison of this evolution with that of ``d…
Moduli Fields as Quintessence and the Chameleon
Philippe Brax, Jerome Martin
We consider models where moduli fields are not stabilized and play the role of quintessence. In order to evade gravitational tests, we investigate the possibility that moduli behav…