Research
Mathematical and Computational Epidemiology:
- A.M.Selvitella and Kathleen Foster, Societal and economic factors associated with COVID-19 indicate that developing countries suer the most. Technium Social Sciences Journal Vol. 10, 637-644, August 2020.
- Muhammad Yousefnezhad, A.M.Selvitella, Liangxiu Han, Daoqiang Zhang, Supervised Hyperalignment for multi-subject fMRI data alignment, to appear in IEEE Transactions of Cognitive and Developmental Systems.
- M.Yousefnezhad, J.Sawalha, A.M.Selvitella, D.Zhang, Deep Representational Similarity Learning for analyzing neural signatures in task-based fMRI datasets, to appear in Neuroinformatics.
- M.Yousefnezhad, A.M.Selvitella, B.Cao, A.Greenshaw, D.Zhang, R.Greiner, Shared Similarity Analysis for comparing the representational structure of neural signatures in multi-subject fMRI datasets, submitted.
- M.Yousefnezhad, A.M.Selvitella, A.Greenshaw, D.Zhang, R.Greiner, Shared Space Transfer Learning for for analyzing multi-site fMRI data, to appear in Proceedings of NeurIPS 2020.
Distribution Theory and Big Data Analysis:
- A.M.Selvitella, Distribution of Points on Spherical Objects and Applications, Msc Thesis in Statistics (2013)-McMaster University, Supervisor: Prof. Narayanasamy Balakrishnan.
- A.M.Selvitella, On (1/α)-Characteristic Functions and Applications to Asymptotic Statistical Inference, Comm. Statist. Theory Methods 46, no. 4,(2017) 1941-1958.
- A.M.Selvitella, The Monge-Ampère Equation in Transformation Theory and an Application to (1/α) Probabilities, Comm. Statist. Theory Methods 46, no. 4, (2017) 2037-2054.
- A.M.Selvitella, A Characterization of Elliptical Distributions through Stretched Orthogonal Matrices, accepted for publication on Journal of Appl. Prob. and Stat, Volume 14 No.3 (December 2019).
- N.Balakrishnan, A.Selvitella, Symmetry of a Distribution via Symmetry of Order Statistics, Statistics and Probability Letters, Volume 129 (October 2017) 367-372.
- A.M.Selvitella, On Geometric Probability Distributions on the Torus and Applications to Molecular Biology, Electron. J. Statist. Volume 13, Number 2 (2019), 2717-2763.
- B.Franke, J.-F.Plante, R.Roscher, E.A.Lee, C.Smyth, A.Hatefi, F.Chen, E.Gil, A.Schwing, A.Selvitella,M.M.Hoffman, R.Grosse, D.Hendricks, N.Reid, Statistical Inference, Learning and Models in Big Data, Int. Stat. Rev., 84 no.3 (2016) 371-289.
- A.M.Selvitella and J.J.Valdes, An extension of the Gamma Test to binary variables and its use as a machine learning tool, submitted.
Statistical Ideas in Quantum Mechanics and Information Theory:
- A.M.Selvitella, The Maximal Strichartz Family of Gaussian Distributions, International Journal of Differential Equations, Volume 2016 (2016), Article ID 2343975, 17 pages.
- A.M.Selvitella, The Simpson’s Paradox in Quantum Mechanics, J. Math. Phys. 58 (2017), no. 3, 032101, 37 pp.
- A.M.Selvitella, A Rosetta Stone for Information Theory and Differential Equations, Comm. in Adv. Math. Sciences, Volume 1, Issue 1, (2018) 45 - 64.
- A.M.Selvitella, The Ubiquity of the Simpson’s Paradox, Journal of Statistical Distributions and Applications (2017) 4:2.
Applied Statistics in Health Science:
- K.Sabri, S.Shivananda, F.Farrokhyar, A.Selvitella, B.Easterbrook, W.Seidlitz, S.Lee, Refining evidence-based retinopathy of prematurity screening guidelines: The SCREENROP Study, Paediatrics & Child Health, https://doi.org/10.1093/pch/pxz085.
Elliptic Equations
- A.M.Selvitella, L’importanza della topologia del dominio per la risolubilità di equazioni ellittiche, Msc Thesis in Mathematics (2006)-University of Milan-, Supervisor: Prof. Bernard Ruf.
Soliton Dynamics:
- A.M.Selvitella, Asymptotic Evolution for the Semiclassical Nonlinear Schrödinger Equation in presence of electric and magnetic fields, Journal of Differential Equations Volume 245, Issue 9, 1 November 2008, Pages 2566-2584.
- A.M.Selvitella, Semiclassical evolution of two rotating solitons for the Nonlinear Schrödinger equation with electric potential, Advances in Differential Equations 15 (2010), no 3-4, Pages 315-348.
- A.M.Selvitella, Some problems concerning the Nonlinear Schrödinger Equation, PhD Thesis in Mathematics (2010)-SISSA-, Supervisor: Prof. Andrea Malchiodi.
Quasilinear Schrödinger Equations:
- A.M.Selvitella, Uniqueness and Nondegeneracy of the Ground State for a class of Quasilinear Schrödinger Equations with a small parameter, Nonlinear Analysis: Theory, Methods and Applications Volume 74 Issue 5, 1 March 2011, Pages 1731-1737.
- A.M.Selvitella and Y.Wang, Morawetz and Interaction Morawetz estimates for a Quasilinear Schrödinger Equation, Journal of Hyperbolic Differential Equations Vol. 09, No. 04, (2012) 613-639.
- A.M.Selvitella, Nondegeneracy of the Ground State for Quasilinear Schrödinger Equations, Calculus of Variations and Partial Differential Equations, (2015) Volume 53, Issue 1-2, 349-364.
- A.M.Selvitella, The Dual Approach to Stationary and Evolution Quasilinear PDEs, Nonlinear Differ. Equ. Appl. (2016) 23: 4. doi:10.1007/s00030-016-0367-0.
Dispersive Equations and Normal Forms:
- A.M.Selvitella, Sulla forma normale di Poincare’ e applicazioni, Msc Thesis in Mathematics (2005)- University of Milan-, Supervisor: Prof. Dario Bambusi.
- W.Craig, A.M.Selvitella and Y.Wang, Birkhoff Normal Form for the Nonlinear Schrödinger Equation, Rend. Lincei Mat. Appl. 24 (2013), 215-228.
- A.M.Selvitella, Remarks on the sharp constant for the Schrödinger Strichartz estimate and applications, Electron. J. Diff. Equ., Vol. 2015, No. 270, (2015) 1-19.
- A.M.Selvitella, Qualitative properties of stationary solutions of the NLS on the Hyperbolic space without and with external potentials, Communications in Pure and Applied Analysis, 18 (5), September 2019, 2663-2677.
- A.M.Selvitella, Uniqueness of the ground state of the NLS on Hd via analytical and topological methods, to appear in Rocky Mountain Journal of Mathematics.