SLG · Stochastic Laplacian Growth
7РП — „Хора“ (Действия „Мария Кюри“)
- Период
- 2010-02-19 → 2013-02-18
- Финансиране от ЕС
- 227 984 €
- Участници
- 1
- Схема
- MC-IEF
Линиите свързват координатора с партньорите.
Накратко на български
Стохастичният лапласов растеж изследва динамиката на нестабилни граници, като например начина, по който се разпространяват случайни структури в природата. Разбирането на тези процеси помага за създаването на нови математически модели в областта на физиката.
Кратко обяснение, генерирано от езиков модел по текста на CORDIS. Оригиналът е по-долу.
Резултати накратко
Stochastic Laplacian Growth
Summary: The implementation of the scientific project resulted in in-depth training of the Fellow, together with intensive work on the central research objective and on more detailed tasks, in accordance with the scientific project "Stochastic Laplacian Growth" under the FP7 Marie-Curie programme. The central research objective of the project was to deepen the understanding of the dynamics of unstable and stochastic interfaces, by unifying different approaches to the problem, developing new systematic approaches and exploring concrete examples of deterministic and stochastic dynamics related to Laplacian growth. The work on the main goals, that consisted in constructing new stochastic models of Laplacian growth, studying their universal characteristics and establishing links to Stochastic Loewner Evolution (SLE) and some other problems of mathematical physics, resulted to series of scientific papers. This studies brought to the Fellow new competencies in the domain of stochastic and complex dynamics, that accomplished as well the training objectives of the project. By the end of the period, the Fellow has prepared 4 scientific articles, among which 1 is published, 2 submitted to journals and 1 is accepted for publication, and has developed a basis for further research and analysis of stochastic processes corresponding to the deterministic Laplacian growth model. The detailed information is described in the attached document.
Текст от CORDIS, на английски · Данни: CORDIS, © Европейски съюз
Цел на проекта
Recent breakthrough in the theory of 2D growth, due to application of analytic theory of stochastic conformal mappings, opened new prospectives for solution of fundamental long-standing problems in the studies of interface dynamics and pattern formation. The research field has been enriched by new effective approaches, emerged from theory of integrable systems and analytic function theory, to deal with dynamics of a moving front between two distinct phases driven by a harmonic scalar field as well as for description of static cluster patterns in models of statistical mechanics and random matrices. The aim of the present project is to address the basic questions of theory of unstable and stochastic interfaces, integrating recent achievements in stochastic conformal mappings and complex dynamics into the field of research. Connecting three subjects: Laplacian growth, stochastic Loewner chains and theory of integrable systems, we expect to advance interface dynamics and account for its basic physical features.
Оригинален текст от CORDIS (на английски).
Участници
- UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6 · PARISКоординаторФранция
Връзки
Данни: CORDIS, © Европейски съюз