# Gerard Kerkyacharian

*Université Paris VII, Laboratoire de Probabilités et Modèles aléatoires*

### IMI Preprints

- Gaussian Bounds for the Weighted Heat Kernels on the Interval, Ball and Simplex (2018)
- Gaussian Bounds for the Heat Kernels on the Ball and Simplex: Classical Approach (2018)
- Regularity of Gaussian Processes on Dirichlet Spaces (2015)
- Hardy Spaces Associated with Non-Negative Self-Adjoint Operators (2014)
- A New Proof of the Atomic Decomposition of Hardy Spaces (2014)
- Compactly Supported Frames for Spaces of Distributions in the Framework of Dirichlet Spaces (2013)
- Heat Kernel Based Decomposition of Spaces of Distributions in the Framework of Dirichlet Spaces (2012)
- Heat Kernel Generated Frames in the Setting of Dirichlet Spaces (2012)
- Decomposition of Triebel-Lizorkin and Besov spaces in the context of Laguerre expansions (2008)
- Inversion of noisy Radon transform by SVD based needlets (2008)
- NEED-VD: a second-generation wavelet algorithm for estimation in inverse problems (2006)
- Some inequalities for the tensor product of greedy bases and weight-greedy bases (2005)
- On mathematical methods of learning (2004)
- Mathematical methods for supervised learning (2004)
- Maximal spaces with given rate of convergence for thresholding algorithms (1999)

### IMI Seminars

- Regularity spaces in a geometric framework. Examples and application to Gaussian processes and non-parametric statistical adaptive estimation. (2018)
- Dirichlet spaces, regularity spaces. Application to some classical topic rand Gaussian processes. (2017)
- Wavelets: a link between statistics, geometry, and probability (2016)
- Regularity of Gaussian Processes in a Geometrical Framework (2014)
- Some classical problems: The heat kernel point of view (2013)
- From statistical estimation to well localized frames, via heat kernel (2012)
- Well localized frames, representation of function spaces, and heat kernel estimates (2011)
- Denoising Radon transform using needlets (2008)
- Regression with random design. The use of Muckenhoupt weights and related Besov Spaces (2003)