Sergio Almada - Academia.edu (original) (raw)
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Papers by Sergio Almada
Abstract. In this review, an outline of the so called Freidlin-Wentzell theory and its recent ext... more Abstract. In this review, an outline of the so called Freidlin-Wentzell theory and its recent extensions is given. Broadly, this theory studies the exponential rate at which the probabilities of rare events related to random perturbation of ODE decays. The typical situation is when an ODE has several stable equi-libria, in which case, the theory predicts the most likely paths in which the randomly perturbed system goes from one equilibria to another. In recent de-velopments I will outline how recent approaches allows to distinguish between paths that are otherwise exponentially equivalent. An overview of applications of this theory is briefly covered.
Asymptotic Analysis, 2014
In this paper we study the fluctuations from the limiting behavior of small noise random perturba... more In this paper we study the fluctuations from the limiting behavior of small noise random perturbations of diffusions with multiple scales. The result is then applied to the exit problem for multiscale diffusions, deriving the limiting law of the joint distribution of the exit time and exit location. We apply our results to the first order Langevin equation in a rough potential, studying both fluctuations around the typical behavior and the conditional limiting exit law, conditional on the rare event of going against the underlying deterministic flow.
El esquema productivo en Bahía Blanca pasa en estos momentos por una etapa de cambios sustanciale... more El esquema productivo en Bahía Blanca pasa en estos momentos por una etapa de cambios sustanciales que se concretarán en la ampliación de la capacidad de procesamiento de las plantas existentes y la construcción de nuevas instalaciones como es el incremento de gas natural a cincuenta y un millones de m3 diarios con el agregado de etano, LPG (gas licuado), gasolina, y etileno que llegará al 93% de la producción total del país. Esta inversión incrementará las producciones de polietileno de alta y baja densidad, monocloruro de vinilo (VCM) y policloruro de vinilo (PVC). La creación de una planta de procesamiento de gas natural, la planta de fertilizantes y la planta de producción de malta arrojarán un porcentaje superior al 5% del valor de los insumos y casi el 8% del valor agregado se transferirá vía contrataciones directas a la economía local. Nuestra presentación se sustenta en la hipótesis de que "el Polo de Petroquímica Bahía Blanca ha transformado la espacialidad regional&qu...
Abstract. In this review, an outline of the so called Freidlin-Wentzell theory and its recent ext... more Abstract. In this review, an outline of the so called Freidlin-Wentzell theory and its recent extensions is given. Broadly, this theory studies the exponential rate at which the probabilities of rare events related to random perturbation of ODE decays. The typical situation is when an ODE has several stable equi-libria, in which case, the theory predicts the most likely paths in which the randomly perturbed system goes from one equilibria to another. In recent de-velopments I will outline how recent approaches allows to distinguish between paths that are otherwise exponentially equivalent. An overview of applications of this theory is briefly covered.
Asymptotic Analysis, 2014
In this paper we study the fluctuations from the limiting behavior of small noise random perturba... more In this paper we study the fluctuations from the limiting behavior of small noise random perturbations of diffusions with multiple scales. The result is then applied to the exit problem for multiscale diffusions, deriving the limiting law of the joint distribution of the exit time and exit location. We apply our results to the first order Langevin equation in a rough potential, studying both fluctuations around the typical behavior and the conditional limiting exit law, conditional on the rare event of going against the underlying deterministic flow.
El esquema productivo en Bahía Blanca pasa en estos momentos por una etapa de cambios sustanciale... more El esquema productivo en Bahía Blanca pasa en estos momentos por una etapa de cambios sustanciales que se concretarán en la ampliación de la capacidad de procesamiento de las plantas existentes y la construcción de nuevas instalaciones como es el incremento de gas natural a cincuenta y un millones de m3 diarios con el agregado de etano, LPG (gas licuado), gasolina, y etileno que llegará al 93% de la producción total del país. Esta inversión incrementará las producciones de polietileno de alta y baja densidad, monocloruro de vinilo (VCM) y policloruro de vinilo (PVC). La creación de una planta de procesamiento de gas natural, la planta de fertilizantes y la planta de producción de malta arrojarán un porcentaje superior al 5% del valor de los insumos y casi el 8% del valor agregado se transferirá vía contrataciones directas a la economía local. Nuestra presentación se sustenta en la hipótesis de que "el Polo de Petroquímica Bahía Blanca ha transformado la espacialidad regional&qu...