Here are some of my papers.

Some of them are regenerated from old source files, which explains the dates. The paper on restarting search algorithms is a preprint version which does not include the graphics. Co-authors who are students appear in bold.

- F. Mendivil
Countable compactifications and a generalized
Hahn-Mazurkeiwicz type theorem
*Topology Appl.***72**1996. - F. Mendivil and E.R. Vrscay
Correspondence between
fractal-wavelet transforms and Iterated Function Systems with
grey-level maps in
*Fractals in Engineering,*edited by J. Levy Vehel, E. Lutton and C. Tricot, Springer-Verlag, 1997. - F. Mendivil, A generalization of IFS with probabilities to infinitely
many maps
*Rocky Mountain J. Math.***28**no. 3. (1998) - B. Forte and F. Mendivil
A classical ergodic property for
IFS: A simple proof
*Ergodic Theory Dynam. Systems***18**no 3. (1998) - B. Forte, F. Mendivil and E.R. Vrscay
"Chaos Games" for Iterated Function
Systems with grey level maps
*SIAM J. Math. Anal.***29**no 4. (1998) - F. Mendivil and
**D. Piche**Two algorithms for non-separable wavelet transforms and applications to image compression in*Fractals: Theory and Applications in Engineering,*edited by M. Dekking, J. Levy VEhel, E. Lutton and C. Tricot, Springer-Verlag, 1999. - B. Forte, F. Mendivil and E.R. Vrscay
IFS-type operators on integral
transforms in
*Fractals: Theory and Applications in Engineering,*edited by M. Dekking, J. Levy VEhel, E. Lutton and C. Tricot, Springer-Verlag, 1999. - F. Mendivil
Function algebras and the lattice of
compactifications
*Proc. Amer. Math Soc.***127**(6), 1999. - F. Mendivil, R. Shonkwiler and M.C. Spruill
Restarting search algorithms with
applications to simulated annealing
*Adv. in Appl. Probab.***33**(2000) - F. Mendivil, R. Shonkwiler and M.C. Spruill
Optimization by Stochastic Methods ,
*Handbook of Stochastic Analysis and Applications*, edited by D. Kannan and v. Kakashmikantham, Marcel Dekker. (2001) - F. Mendivil, E.R. Vrscay Fractal vector measures and vector
calculus on planar fractal
domains
*Chaos Solitons Fractals***14**(2002) Issue 8, 1239-1254 - F. Mendivil, E.R. Vrscay Self-affine vector measures and vector
calculus on fractals , in
*Fractals in Multimedia*IMA Volumes in Mathematics and its Applications, Vol 132, M. Barnsley, D. Saupe, E.R. Vrscay, editors, pp. 137-156 (2002) - F. Mendivil,
**J. Silver**Chaos Games for Wavelet Analysis and Wavelet Synthesis,*Comput. Math. Appl.***46**(2003), no. 5-6, 863-873. - F. Mendivil Fractals, Graphs, and Fields
*Amer. Math. Monthly***110**(2003), no. 6, 503-515. - C. Cabrelli, F. Mendivil, U. Molter, R. Shonkwiler, On the
Hausdorff h-measure of Cantor Sets
*Pacific J. Math.***217**(2004) no. 1, 45-59. - F. Mendivil, R. Shonkwiler and M.C. Spruill An analysis of Random Restart and
Iterated Improvement for Global Optimization with an application to the Traveling Salesman Problem
*J. Optim. Theory Appl.*,**124**(2005), no. 2, 402-433. - D. La Torre, F. Mendivil, E. R. Vrscay, Iterated function systems on multifunctions
Proceedings of
*MATH EVERYWHERE - Deterministic and stochastic modelling in biomedicine, economics and industry*Springer-Verlag (2006). - F. Mendivil, T. Taylor Thin sets with fat shadows: Projections of
Cantor Sets
*Amer. Math. Monthly***115**(2008), no. 5, 451-456. - J. Levy-Vehel, F. Mendivil, E. Lutton Overcompressing JPEG Images with Evolution Algorithms
EvoWorkshops2007: 383-390.
- D. La Torre, F. Mendivil Iterated function systems on multifunctions and inverse problems ,
*J. Math. Anal. Appl.***340**(2008) 1469-1479. - D. La Torre, F. Mendivil Union-additive multimeasures and self-similarity ,
*Commun. Math. Anal.***7**(2009), no. 2, 51-61. - F. Mendivil, R. Shonkwiler, M. C. Spruill Geometric convergence of genetic algorithms under
tempered random restart ,
*J. Appl. Probab.***46**no. 4 (2009), 960-974. - F. Mendivil, R. Shonkwiler Annealing a Genetic Algorithm for constrained optimization
*J. Optim. Theory Appl.***147**(2010), no. 2, 395-410. - U. Freiberg, D. La Torre, F. Mendivil Iterated function systems and stability of
variational problems on self-similar objects
*Nonlinear Anal. Real World Appl.*12 (2011) 1123-1129. - J. Levy-Vehel, F. Mendivil Multifractal and higher-dimensional zeta functions
*Nonlinearity***24**(2011) 259-276. - F. Mendivil,
**J. C. Saunders**On Minkowski measurability*Fractals***19**no. 4 (2011), 455 - 467. - D. La Torre, F. Mendivil Minkowski-additive multimeasures, monotonicity
and self-similarity ,
*Image Anal. Stereol.***30**no. 3 (2011), 135-142. - F. Mendivil,
**D. Patterson**Dynamics of finite linear cellular automata over $Z_N$*Rocky Mountain J. Math.***42**no. 2 (2012), 695-709. - J. Levy-Vehel, F. Mendivil Local complex dimensions of a fractal string,
*Int. J. Mathematical Modelling and Numerical Optimization*special issue on "Fractals, Fractal-based Methods and Applications",**3**, no. 4 (2012), 298-312. - H. Kunze, D. La Torre, F. Mendivil, E.R. Vrscay Generalized fractal transforms and self-similar objects in cone metric
spaces,
*Comput. Math. Appl.***64**(2012), 1761 - 1769. - K. Hare, F. Mendivil, L. Zuberman The sizes of rearrangments of Cantor sets,
*Canad. Math. Bull.***56**no. 2 (2013), 354 - 365. - J. Levy-Vehel, F. Mendivil Christiane's Hair,
*Amer. Math. Monthly***129**(2013) no. 9, 771-786. - D. La Torre, F. Mendivil A Chaos Game Algorithm for Generalized Iterated Function Systems,
*Appl. Math. Comput.***224**(2013), 238-249. - H. Kunze, D. La Torre, F. Mendivil, E.R. Vrscay Continuous evolution of equations and inclusions involving set-valued contraction
mappings with applications to generalized fractal transform,
*Electron. J. Diff. Equ.*, Vol 2014 (2014), No. 142, pp.1-17. - D. La Torre, F. Mendivil The Monge-Kantorovich metric on multimeasures and self-similar multimeasures,
*Set-Valued Var. Anal.***23**(2015), pp. 319-331. -
**D. Day**, F. Mendivil Fractal measures with uniform marginals ,*J. Math. Anal. Appl.***429**(2015), pp. 1096-1112. - F. Mendivil Time-dependent iteration of random functions ,
*Chaos Solitons Fractals***75**(2015), pp. 178-184. - F. Mendivil, O. Stenflo V-Variable image compression ,
*Fractals***23**, no. 2 (2015), pp. 1550007 - D. La torre, S. Marsiglio, F. Mendivil, F. Privileggi Self-similar measures in multi-sector endogenous growth models ,
*Chaos Solitons Fractals***79**(2015) pp 40-56. - D. La Torre, F. Mendivil Arclength as the invariant measure for an IFS with probabilities ,
*Fractals***23**no 4 (2015) pp. 1550046. - K. Hare, F. Mendivil, L. Zuberman Packing and Hausdorff measures of Cantor sets associated with series,
*Real Anal. Exchange***40**, no 2 (2015), pp 421-434. - J. Hooper, F. Mendivil Transposition as a permutation: a tale of group actions and modular arithmetic
*Math. Magazine***89**(2016), pp. 16-35. - D. La Torre, F. Mendivil, E.R. Vrscay Iterated function systems on functions of bounded variation
*Fractals***24**, no 2 (2016), pp. 1650019. - D. La Torre, F. Mendivil, O. Michailovich, E.R. Vrscay (2016)
Total Variation Minimization for Measure-Valued Images with Diffusion Spectrum Imaging as Motivation,
in Campilho A., Karray F. (eds)
*Image Analysis and Recognition. ICIAR 2016*Lecture Notes in Computer Science, vol 9730, Springer. - D. La Torre, F. Mendivil, E.R. Vrscay
Total variation denoising of probability measures using iterated function systems with probabilities,
Proceedings of the International Conference on Mathematical Problems in Engineering, Aerospace and Sciences,
AIP Conference Proceedings,
**1798**020091 (2017) doi:10.1063/1.4972683 - D. La Torre, F. Mendivil, Portfo optimization under partial uncertainty and incomplete information: A probability multimeasure-based approach,
*Ann. Oper. Res.*(2016) pp 1-13, doi:10.1007/s10479-016-2298-x - F. Mendivil Computing the Monge-Kantorovich Distance
*Comp. Appl. Math.***36**no 3 (2017), pp 1389-1402. -
**S. Alwadani**, F. Mendivil, R. Shonkwiler, Limiting distribution and mixing time for genetic algorithms, in*Nature Inspired Computing and Optimization: Theory and Applications,*edited by Srikanta Patnaik, Xin-She Yang, Kazumi Nakamatsu, Springer-Verlag (2017). - D. La Torre, F. Mendivil,
Stochastic linear optimization under partial uncertainty and incomplete information using the notion of probability multimeasure,
*Journal of the Operational Research Society*(2018) pp 1-8, doi:10.1057/s41274-017-0249-9 - D. La torre, S. Marsiglio, F. Mendivil, F. Privileggi
Fractal Attractors and Singular Invariant Measures in Two-Sector Growth Models with Random
Factor Shares ,
*Commun. Nonlinear Sci. Numer. Simul.***58**(2018) pp 185-201. - I. Garcia, K. Hare, F. Mendivil, Assouad dimensions of complementary sets, to appear in
*Proc. Roy. Soc. Edinburgh Sect. A* -
**W. Jiang**, F. Ghasempour, F. Mendivil, S. Peterson, E.R. Vrscay, An algorithm to construct conformable networks that occupy arbitrary regions in R^3, to appear in*Applied Mathematical Modelling* - D. La Torre,
**E. Maki**, F. Mendivil, E.R. Vrscay, Iterated function systems with place-dependent probabilities and the inverse problem of measure approximation using moments, to appear in*Fractals*