What is he best known for?
The fields of study he is best known for:
- Statistics
- Mathematical analysis
- Quantum mechanics
Timothy Sauer mainly investigates Chaotic, Attractor, Control theory, Statistical physics and Nonlinear system.
Timothy Sauer integrates Chaotic with Control of chaos in his research.
The subject of his Attractor research is within the realm of Mathematical analysis.
Timothy Sauer has researched Control theory in several fields, including Algorithm, Biological neural network and Biological system.
His research integrates issues of Stochastic process, Dynamical systems theory and Series in his study of Statistical physics.
He has included themes like Dynamical system, Fractal, Interval and Differential equation in his Dynamical systems theory study.
His most cited work include:
- Chaos: An Introduction to Dynamical Systems (1464 citations)
- Prevalence: a translation-invariant “almost every” on infinite-dimensional spaces (357 citations)
- Detecting dynamical interdependence and generalized synchrony through mutual prediction in a neural ensemble (311 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Attractor, Chaotic, Applied mathematics, Nonlinear system and Mathematical analysis.
The Attractor study combines topics in areas such as Space, Phase space, Lyapunov exponent and Series.
His Chaotic study combines topics from a wide range of disciplines, such as Classical mechanics, Dynamical systems theory, Control theory and Statistical physics.
His research in Statistical physics intersects with topics in Dynamical system and Physical system.
His Nonlinear system research is multidisciplinary, relying on both Observer, Mathematical model, Observability and Topology.
Timothy Sauer studies Mathematical analysis, focusing on Differential equation in particular.
He most often published in these fields:
- Attractor (19.59%)
- Chaotic (20.95%)
- Applied mathematics (14.19%)
What were the highlights of his more recent work (between 2013-2021)?
- Applied mathematics (14.19%)
- Data assimilation (8.11%)
- Kalman filter (8.78%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Applied mathematics, Data assimilation, Kalman filter, Algorithm and Topology.
His Applied mathematics research is multidisciplinary, incorporating perspectives in Diffusion map, Kernel, Kernel density estimation, Boundary and Invariant.
His work carried out in the field of Kalman filter brings together such families of science as Poisson distribution and Nonlinear system.
His Algorithm research incorporates elements of Filter, Errors-in-variables models, Attractor, System dynamics and Atmospheric radiative transfer codes.
His studies examine the connections between Artificial intelligence and genetics, as well as such issues in Machine learning, with regards to Nonparametric statistics and Dynamical systems theory.
His studies in Nonparametric statistics integrate themes in fields like Adaptive filter, Series and Chaotic.
Between 2013 and 2021, his most popular works were:
- Observability and Controllability of Nonlinear Networks: The Role of Symmetry. (117 citations)
- Local kernels and the geometric structure of data (71 citations)
- Ensemble Kalman Filtering without a Model (37 citations)
In his most recent research, the most cited papers focused on:
- Statistics
- Mathematical analysis
- Quantum mechanics
Timothy Sauer focuses on Applied mathematics, Kalman filter, Algorithm, Component and Nonlinear system.
His Applied mathematics study incorporates themes from Diffusion map, Density estimation, Attractor, Lorenz system and Series.
His work in the fields of Fast Kalman filter, Extended Kalman filter, Moving horizon estimation and Ensemble Kalman filter overlaps with other areas such as Data assimilation.
His research investigates the connection with Nonlinear system and areas like Symmetry which intersect with concerns in Complex network.
The various areas that Timothy Sauer examines in his Complex network study include Chaotic, Controllability, Observer, Complex system and Mathematical model.
His biological study spans a wide range of topics, including Nonparametric statistics and Time series.
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