Skip to main content

Research Repository

Advanced Search

Outputs (147)

Probabilistic representation of weak solutions of partial differential equations with polynomial growth coefficients (2011)
Journal Article
Zhang, Q., & Zhao, H. (2012). Probabilistic representation of weak solutions of partial differential equations with polynomial growth coefficients. Journal of Theoretical Probability, 25, 396–423. https://doi.org/10.1007/s10959-011-0350-y

In this paper we develop a new weak convergence and compact embedding method to study the existence and uniqueness of the L2p
ρ (Rd ;R1)×L2ρ(Rd ;Rd ) valued solution of backward stochastic differential equations with p-growth coefficients.
Then we... Read More about Probabilistic representation of weak solutions of partial differential equations with polynomial growth coefficients.

Slow manifolds and invariant sets of the primitive equations (2011)
Journal Article
Wirosoetisno, D., & Temam, R. (2011). Slow manifolds and invariant sets of the primitive equations. Journal of the Atmospheric Sciences, 68(3), 675-682. https://doi.org/10.1175/2010jas3650.1

The authors review, in a geophysical setting, several recent mathematical results on the forced–dissipative hydrostatic primitive equations with a linear equation of state in the limit of strong rotation and stratification, starting with existence an... Read More about Slow manifolds and invariant sets of the primitive equations.

Computable bounds for Rasmussen's concordance invariant (2011)
Journal Article
Lobb, A. (2011). Computable bounds for Rasmussen's concordance invariant. Compositio Mathematica, 147(2), 661-668. https://doi.org/10.1112/s0010437x10005117

Given a diagram D of a knot K, we give easily computable bounds for Rasmussen’s concordance invariant s(K). The bounds are not independent of the diagram D chosen, but we show that for diagrams satisfying a given condition the bounds are tight. As a... Read More about Computable bounds for Rasmussen's concordance invariant.

Holographic dual of collimated radiation (2011)
Journal Article
Hubeny, V. (2011). Holographic dual of collimated radiation. New Journal of Physics, 13(3), Article 035006. https://doi.org/10.1088/1367-2630/13/3/035006

We propose a new and simple method of estimating the radiation due to an accelerated quark in a strongly coupled medium, within the framework of the anti-de Sitter (AdS)/conformal field theory (CFT) correspondence. In particular, we offer a heuristic... Read More about Holographic dual of collimated radiation.

Imprecise probability. (2011)
Book Chapter
Coolen, F. P., Troffaes, M. C., & Augustin, T. (2011). Imprecise probability. In M. Lovric (Ed.), International Encyclopedia of Statistical Science. Springer Verlag

Extended Deligne–Lusztig varieties for general and special linear groups (2011)
Journal Article
Stasinski, A. (2011). Extended Deligne–Lusztig varieties for general and special linear groups. Advances in Mathematics, 226(3), 2825-2853. https://doi.org/10.1016/j.aim.2010.10.010

We give a generalisation of Deligne–Lusztig varieties for general and special linear groups over finite quotients of the ring of integers in a non-archimedean local field. Previously, a generalisation was given by Lusztig by attaching certain varieti... Read More about Extended Deligne–Lusztig varieties for general and special linear groups.

Some new examples with almost positive curvature (2011)
Journal Article
Kerin, M. (2011). Some new examples with almost positive curvature. Geometry & Topology, 15(1), 217-260. https://doi.org/10.2140/gt.2011.15.217

As a means to better understanding manifolds with positive curvature, there has been much recent interest in the study of nonnegatively curved manifolds which contain points at which all 2 –planes have positive curvature. We show that there are gener... Read More about Some new examples with almost positive curvature.