Álvaro Romaniega completed his thesis at the ICMAT in 2022.
Álvaro Romaniega’s work, under the direction of Daniel Peralta-Salas (ICMAT-CSIC) and Alberto Enciso (ICMAT-CSIC), is one of those selected for the 2nd CSIC Relevant Doctoral Thesis Award. It is one of the four awarded in the global area Society, among the 20 in total. In this edition, 190 proposals were received.
Romaniega, presented his thesis, “Asymptotic probability techniques in monochromatic waves and fluid mechanics”, in September 2022. The paper “addresses different questions related to probability, partial differential equations, fluid mechanics and some aspects of economic theory,” says its author. “We try to answer several questions: whether some events in these fields are typical, how different probability configurations modify their occurrence, and how some probability techniques can provide information about the expected values of important quantities,” he adds.
The thesis is divided into two parts: the first part studies the nodal set and the set of critical points of monochromatic random waves; while the second part analyzes probability techniques applied to two different fields: fluid mechanics and economic theory. “First, motivated by Arnold’s view of stationary Euler flows in dimension 3, we show that, with probability 1, a random Beltrami field exhibits chaotic regions coexisting with invariant tori of complicated topologies. Similarly for the three-dimensional torus. Second, following a Bayesian approach, we study the probability of the thesis of a well-known outcome in social choice theory,” he explains.
Relevant Doctoral Thesis
This annual award selects doctoral theses written and defended by CSIC research staff that have stood out for their quality, impact and relevance. These awards institutionally recognize the work carried out at the CSIC by research staff in training, professionals whose work is crucial for the advancement of knowledge and the institution.
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