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25 papers · 1 filter
An Intuitive Automated Modelling Interface for Systems Biology
Ozan Kahramanoğullari, Luca Cardelli, Emmanuelle Caron
We introduce a natural language interface for building stochastic pi calculus models of biological systems. In this language, complex constructs describing biochemical events are b…
Collective decoherence of cold atoms coupled to a Bose-Einstein condensate
M. A. Cirone, G. De Chiara, G. M. Palma +1
We examine the time evolution of cold atoms (impurities) interacting with an environment consisting of a degenerate bosonic quantum gas. The impurity atoms differ from the environm…
Koszul cohomology and singular curves
Edoardo Ballico, Claudio Fontanari, Luca Tasin
We investigate Koszul cohomology on irreducible nodal curves. In particular, we prove both Green and Green-Lazarsfeld conjectures for the general k-gonal nodal curve.
Ergodicity for nonlinear stochastic evolution equations with multiplicative Poisson noise
Carlo Marinelli, Giacomo Ziglio
We study the asymptotic behavior of solutions to stochastic evolution equations with monotone drift and multiplicative Poisson noise in the variational setting, thus covering a lar…
Smoothing of rational m-ropes
Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe
In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof and obtain smoothability of rational -ropes for $m \…
Kolmogorov equation associated to the stochastic reflection problem on a smooth convex set of a Hilbert space
Viorel Barbu, Giuseppe Da Prato, Luciano Tubaro
We consider the stochastic reflection problem associated with a self-adjoint operator and a cylindrical Wiener process on a convex set with nonempty interior and regular bo…