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Breve Curriculum Vitae: Laurea in Mathematics (1997, 110/110 cum laude, University of Milan, Italy) and Ph.D in Computational Mathematics and Operations Research (2001, University of Milan, Italy), Davide La Torre is Associate Professor (Tenured) of Applied Mathematics at the Department of Economics, Business and Statistics of the University of Milan, Adjunct Professor at the Department of Mathematics and Statistics of the University of Guelph (Ontario, Canada) and Adjunct Professor at the School of Commerce and Administration of Laurentian University (Ontario, Canada). He spent several periods as Visiting Professor at the Department of Applied Mathematics of the University of Waterloo (Ontario, Canada), at the Department of Mathematics of the Australian National University (Canberra, Australia), at the Department of Mathematics and Statistics of the University of Guelph (Ontario, Canada), at the Department of Probability and Mathematical Statistics of the Charles University (Prague, CZ), at the Department of Mathematics and Statistics of Acadia University (Nova Scotia, Canada), at the School of Commerce and Administration of Laurentian University (Sudbury, Canada) and at the Department of Economics and Related Studies of the University of York (York, UK).
His main papers were published in: SIAM Journal on Imaging Science, Journal of Mathematical Analysis and Applications, Journal of Mathematical Biology, Computers and Mathematics with Applications, Journal of Computational and Applied Mathematics, Nonlinear Analysis: Theory, methods and applications, Nonlinear Analysis: Real World Applications, Journal of Nonlinear and Convex Analysis, Applied Mathematics Letters, Applied Mathematics and Computation, Operations Research Letters, Communications in Mathematical Analysis, Communications in Applied Nonlinear Analysis, Real Analysis Exchange, Journal of Applied Mathematics and Decisions Sciences, Journal of Economics, Economic modelling, International Review of Economics, Journal of Financial Decision Making.
Davide La Torre is Editor of the International Journal of Applied Nonlinear Science, Associate Editor of the International Journal of Portfolio Analysis and Management, Editor of the International Journal of Mathematics and Statistics, Editor of the Journal of Communications and Information Sciences, Editor of the International Journal of Information Processing and Management, Associate Editor of the International Journal of Tomography & Statistics, Editorial Member of the International Journal of Optimization: Theory, Methods and Applications. In the past he was Associate Editor-in-Chief of the International Journal of Image Processing and Associate Editor of the Australian Journal of Mathematical Analysis and Applications.

Selected publications:

26) Generalized Fractal Transforms and Self-Similar Objects in Cone Metric Spaces (2012) - in press - Computers and Mathematics with Applications (with H.Kunze, F.Mendivil, E.R. Vrscay).

25) Solving inverse problems for biological models using the collage method for differential equations (2012) - in press - Journal of Mathematical Biology (with V.Capasso, H. Kunze, E.R. Vrscay).

24) The Stochastic Goal Programming Model: Theory and Applications (2012) - in press - Journal of Multicriteria Decision Analysis (with B.Aouni, F.Ben Abdelaziz)

23) Solving inverse problems for differential equations by a ``generalized collage'' method and application to a mean field stochastic model (2012) - in press - Nonlinear Analysis: Real World Applications (with V.Capasso, H.Kunze, E.R.Vrscay)

22) Government spending and growth in second-best economies (2012) - 29, 654-663 - Economic Modeling (with A.Bucci, M.Florio).

21) Fractal-based methods in analysis (2012) - ISBN 1461418909 - Springer (with H.Kunze, F.Mendivil, E.R.Vrscay).

20) Random measure-valued image functions, fractal transforms and self-similarity (2011) - 24, 8, 1405-1410 - Applied Mathematics Letters (with E.R.Vrscay).

19) A note on scalar characterization of explicitly quasiconvex set-valued maps (2011) - 12, 1, 113-118 - Journal of Nonlinear and Convex Analysis (with N. Popovici, M.Rocca).

18) Stochastic technology shocks in an extended Uzawa-Lucas model: closed-form solution and long-run dynamics (2011) - 103, 1, 83-99 - Journal of Economics (with A.Bucci, C.Colapinto, M.Forster).

17) Iterated function systems and stability of variational problems on self-similar objects (2011) - 12, 2, 1123-1129 - Nonlinear Analysis: Real World Applications (with U.Freiberg, F.Mendivil)

16) On a spatial Solow model with technological diffusion and nonconcave production function (2010) - 11, 5, 3858-3876 - Nonlinear Analysis: Real World Applications (with V.Capasso, R.Engbers)

15) Arcwise cone-quasiconvex multicriteria optimization (2010) - 38, 143-146 - Operations Research Letters (with N. Popovici).

14) Endogenous technological progress in a multi-sector growth model (2010) - 27, 5, 1017-1028 - Economic Modeling (with S.Marsiglio).

13) Solving inverse problems for variational equations using “generalized collage methods,” with applications to boundary value problems (2010) - 11, 5, 3734-3743 - Nonlinear Analysis: Real World Applications (with H.Kunze, E.R. Vrscay)

12) A Generalized Stochastic Goal Programming Model (2010) - 215, 4347–4357 - Applied Mathematics and Computation (with B. Aouni)

11) Scalar characterizations of weakly cone-convex and weakly cone-quasiconvex functions (2010) - 72, 3-4, 1909-1915 - Nonlinear Analysis: Theory, Methods and Applications (with N.Popovici, M.Rocca)

10) A generalized collage method based upon the Lax-Milgram functional for solving boundary value inverse problems (2009) - 71, 12, e1337-e1343 - Nonlinear Analysis: Theory, Methods and Applications (with H.Kunze and E.Vrscay)

9) Measure-Valued Images, Associated Fractal Transforms, and the Affine Self-Similarity of Images (2009) - 2, 2, 470-507 - SIAM Journal on Imaging Sciences (with E.R.Vrscay, M.Ebrahimi, M.Barnsley)

8) A generalized fractal transform for measure-valued images (2009) - 71, 12, e1598-e1607 - Nonlinear Analysis: Theory, Methods and Applications (with E.Vrscay)

7) Inverse problems for random differential equations using the collage method for random contraction mappings (2009) - 223, 2, 853-861 - Journal of Computational and Applied Mathematics (with H.Kunze and E.Vrscay)

6) Iterated function systems on multifunctions and inverse problems (2008) - 340, 2, 1469--1479 - Journal of Mathematical Analysis and Applications (with F.Mendivil)

5) Random fixed point equations and inverse problems using ``collage method'' for contraction mappings (2007) - 334, 2, 1116--1129 - Journal of Mathematical Analysis and Applications (with H.Kunze, E.R. Vrscay)

4) Contractive multifunctions, fixed point inclusions and iterated multifunction systems (2007) - 330, 1, 159--173 - Journal of Mathematical Analysis and Applications (with H.Kunze, E.R. Vrscay)

3) A comparative simulation study on the IFS distribution function estimator (2005) 6, 5, 858--873 - Nonlinear Analysis: Real World Applications (with S.M.Iacus)

2) Mean value theorem for continuous vector functions by smooth approximations (2004) - 17, 7, 791--794 - Applied Mathematics Letters (with M.Rocca)

1) Mollified derivatives and second-order optimality conditions (2003) - 4, 3, 437--454 - Journal of Nonlinear and Convex Analysis (with G.Crespi and M.Rocca)

Interessi di ricerca: Applied analysis (inverse problems, parameter identification, deterministic and stochastic differential equations), Decision theory and optimization (multi-criteria deterministic and stochastic optimization), Dynamical systems (deterministic and stochastic fixed point equations and inclusions), Fractal analysis and geometry (iterated function systems, generalized fractal transforms). Applications areas: biological models, population dynamics, economic growth, sustainable and environmental economics, image analysis, image compression and denoising, portfolio optimization, risk analysis.

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