Publications

 

On referred Journals

     1]   Capasso V., Villa E.: Survival functions and contact distribution functions for inhomogeneous, stochastic geometric marked  point processes, Stoch.  Anal. Appl., 23, 79--96 (2005)

     2]   Capasso V., Villa E.: On the continuity and absolute continuity of random closed sets, Stoch.  Anal. Appl., 24, 381--397 (2006)

     3]   Capasso V., Villa E.: On mean densities of inhomogeneous geometric processes arising in material science and medicine, Image Anal. Stereol., 26, 23--36 (2007)

     4]   Villa E.: A note on mean volume and surface densities for a class of  birth-and-growth stochastic processes, Int. J. Contemp. Math. Sci., 3, 1141--1155 (2008)

     5]   Capasso V., Villa E.: On the geometric densities of random closed sets, Stoch.  Anal. Appl., 26, 784--808 (2008) 

     6]   Ambrosio L., Colesanti A., Villa E.: Outer Minkowski content for some classes of closed sets, Math. Ann., 342, 727--748 (2008)  

     7]   Rios P.R., Villa E.: Transformation kinetics for inhomogeneous nucleation, Acta Materialia, 57, 1199--1208 (2009)

     8]   Villa E.: On the outer Minkowski content of sets. Ann. Mat. Pura Appl., 188, 619--630 (2009)

     9]   Ambrosio L., Capasso V., Villa E.:  On the approximation of mean densities of random closed sets, Bernoulli, 15, 1222--1242 (2009)

 10]   Villa E., Rios P.R.:  Transformation kinetics for nucleus clusters, Acta Materialia, 57, 3714--3724 (2009)

 11]   Rios P.R.,  Jardim D.,  Assis W.,  Caneda T.,  Villa E.:   Inhomogeneous Poisson point process nucleation: comparison of analytical solution with cellular automata simulation, Mat. Res., 12, 219--224 (2009)

 12]   Villa E., Rios P.R.: Transformation kinetics for surface and bulk nucleation. Acta Materialia, 58, 2752--2768 (2010)

 13]   Villa E.: Mean densities and spherical contact distribution function of inhomogeneous Boolean models, Stoch. Anal. Appl., 28, 480--504 (2010)  

 14]   Villa E.: On the specific area of inhomogeneous Boolean models. Existence results and applications, Image Anal. Stereol.  29, 111--119 (2010)

 15]   Rios P.R., Villa E.: Simultaneous and Sequential Transformations, Acta Materialia, 59, 1639--1643 (2011)

 16]   Rios P.R., Villa E.: An analytical approach to the effect of a distribution of growth velocities on recrystallization kinetics, Scripta Materialia, 65, 938--941 (2011)

 17]   Villa E., Rios P.R.: Transformation kinetics for nucleation on random planes and lines, Image Anal. Stereol. 30, 153--165 (2011)

 18]   Rios P.R.,  Villa E.,  Assis W.L.S., Ribeiro T.C.S.: Kinetics of transformations nucleated on random  parallel planes: analytical modelling and computer simulation, Model. Simul. Mater. Sc. Eng. 20, 035017 (2012)

 19]   Villa E., Rios P.R.: On modelling  recrystallization processes with random growth velocities of the grains in Materials Science, Image Anal. Stereol. 31, 149--162 (2012)

 20]   de Oliveira S., Assis W., Villa E., Rios P.R.: Computer simulation of simultaneous evolution of individual texture components during recrystallization of an IF steel, Mat. Res., 16, 1195--1202 (2013)

 21]   Villa E.: On the local approximation of mean densities of random closed sets, Bernoulli, 20, 1--27 (2014)

 22]   Camerlenghi F., Capasso V., Villa E.: On the estimation of the mean density of random closed setsJ. Multivariate Anal., 125, 65--88 (2014)

 23]   Camerlenghi F.,  Villa E.: Optimal bandwidth of the  ``Minkowski content''-based estimator of the mean density of random closed sets: theoretical results and numerical experiments, J. Math. Imaging Vision. 53, 264--287 (2015)

24]   Lussardi L., Villa E.: A general formula for the anisotropic outer Minkowski content of a set. Proc. Roy. Soc. Edinburgh: Sect. A Mathematics, 146, 393--413 (2016)

 25]   Micheletti A., Nakagawa J., Capasso V., Alessi A.A., Morale D., Villa, E.: A germ-grain model applied to the morphological study of dual phase steel. J. Math. Ind. 6:12, 1--24 (2016).

 26]   Camerlenghi F., Macci C., Villa E.: Asymptotic results for multivariate estimators of the mean density of random closed sets. Electron. J. Stat, 10, 2066--2096 (2016) 

 27]   Alves A.L.M., Villa E., Rios P.R.: Transformation kinetics for nucleation on second-phase particles: Analytical solution and computer simulation, Acta Materialia, 131, 523--533 (2017)

 28]   Camerlenghi F., Villa E.: Large and moderate deviations for kernel--type estimators of the mean density of Booleanmodels. Electron. J. Stat., 12, 427--460 (2018)

 

In referred Conference Proceedings

 29]   Micheletti A., Patti S., Villa E.: Crystal Growth Simulations: a new Mathematical Model based on the Minkowski Sum of Sets. In: Industry Days 2003-2004, (D.Aquilano et al. eds), Vol 2, The MIRIAM Project, Esculapio, Bologna, 130--140 (2005)

 30]   Capasso V., Villa E.: On mean geometric densities arising in inhomogeneous birth-and-growth processes. In: Proceedings of the International Conference in Stereology, Spatial Statistics and Stochastic Geometry, (R.Lechnerová, I.Saxl, V.Beneš, eds.), UCMP, Prague, 11--24 (2006)

 31]   Capasso V., Villa E.: Some remarks on the continuity of random closed sets. In: Proceedings of the International Conference in Stereology, Spatial Statistics and Stochastic Geometry, (R.Lechnerová, I.Saxl, V.Beneš, eds.), UCMP, Prague, 69--74 (2006)  [slides]

 32]   Capasso V., Villa E.: On the generalized geometric densities of random closet sets. An application to growth processes. In: Math Everywhere. Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry, (G.Aletti et al. eds), Springer, Berlin Heidelberg,  77--91 (2007)

 33]   Villa E.: Specific area and mean surface density of inhomogeneous Boolean models. In: Stereology and Image Analysis. Ecs10: Proceedings of the 10th European Congress of ISS, (V.Capasso et al. Ed.), The MIRIAM Project Series, Vol. 4, Esculapio, Bologna, 485--490 (2009)

 34]   Rios P.R., Villa E., de Oliveira S.C.: New methodology to model simultaneous and sequential reactions: main results and applications. In: Proceedings of THERMEC 2011 – International Conference on Processing & Manufacturing of Advanced Materials, Quebec, Canada, Mater. Sci. Forum, 706-709, 149--156 (2012)

 35]   Rios P.R., Villa E.: Stochastic Geometry and Transformation Kinetics Theories: Basics and Results. In: TMS 2012 Annual Meeting Supplemental Proceedings: Volume 2: Materials Properties, Characterization, and Modeling (C.Wood editor);  779-785  (2012)

 36]   Rios P.R.,  Assis W.L.S., Salazar T.C., Villa E.: Analytical expressions for formal kinetics. In: Proceedings of the 4th International Conference on Recrystallization and Grain Growth 2010, University of Sheffield, Sheffield, Mater. Sci. Forum, 715-716,  971--976 (2012)

 37]   Rios P.R., Villa E.: On the generalisation of JMAK's theory. In: Proceedings of the 5th International Conference on Recrystallization and Grain Growth 2013 (M. Barnett, Ed.),  Sydney, Australia,  Mater Sci Forum, 753, 137--142 (2013)

 38]   Rios P.R., Villa E.: Modelling some recrystallization processes with random growth velocity of the grains. In:  Progress in Industrial Mathematics at ECMI 2012 (M. Fontes et al. Ed.s), Series: Mathematics in Industry, Springer; 293--300 (2014)

 39]   Camerlenghi F., Capasso V., Villa E.: Numerical experiments  for the estimation of mean densities of random sets.   In:  Proceedings of the 11th European Congress of Stereology and Image Analysis.  Image Anal.Stereol., 33, 83--94 (2014)

 40]   Villa E.: Mean density of random closed sets and their estimation: some results and applications. In: Recent Advances in Applied Mathematics, Modelling and Simulation – Proceedings of the 8th International Conference on Applied Mathematics, Simulation, Modelling ’14, (N.E. Mastorakis et al. Ed.s); 84–90 (2014)

 41]   Micheletti A, Nakagawa J., Alessi A., Capasso V., Morale D., Villa E.: Mathematical morphology and uncertainty quantification applied to the study of dual phase steel formation. In: Proceedings of the 1st ECCOMAS Thematic Conference on Uncertainty Quantification in Computational Sciences and Engineering, (M. Papadrakakis et al. Ed.s) National Technical University of Athens; 714--732 (2015).

 42]   Micheletti A., Nakagawa J.,  Alessi A.A., Capasso V., Grimaldi D., Morale D., Villa E.: Mathematical morphology applied to the study of dual phase steel formation. In: Progress in Industrial Mathematics at ECMI  2014, (G. Russo et al. Ed.s) Springer 2016.

 

Book Chapters

 43]   Capasso V., Villa E.: On the evolution equations of mean geometric densities for a class of space and time inhomogeneous stochastic birth-and-growth processes. In: Stochastic Geometry, (W.Weil, ed), Lecture Notes in Mathematics, 1892, CIME-subseries, Springer, Heidelberg, 267--281 (2007)

 44]   Rios P.R., Villa E.: Application of Stochastic Geometry to Nucleation and Growth Transformations. In: Microstructural Design of Advanced Engineering Materials, (D.A.Molodov, ed.) Wiley-VCH, Weinheim, 119--159 (2013)

 

Preprints

     1]   Ambrosio L., Capasso V., Villa E.: On the approximation of geometric densities of random closed sets. RICAM-Report 14/2006, Linz (2006)

     2]   Villa, E.: Mean density of inhomogeneous Boolean models with lower dimensional typical grain. Preprint. [arXiv:0711.4202] [slides]

 

Theses

     1]   Villa E.: Hazard function per processi stocastici geometrici,  Master Degree Thesis, Universitŕ degli Studi di Milano, Milano, 2002  (in italian)

     2]   Villa E.: Methods of Geometric Measure Theory in Stochastic Geometry, PhD Thesis, Universitŕ degli Studi di Milano, Milano, 2007 

 

 

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