Na FER-u postoji više zaposlenika s imenom
- Bibliografija (CROSBI)
- Izabrane publikacije
- Životopis
- Područja istraživanja
- Profesionalni interesi i članstva
- Osobni podaci
- Hobiji i osobni interesi
Akademik Josip Lončar (1891. – 1973.) i dio njegova studija matematike i fizike u Francuskoj
Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations
Srinivasa Ramanujan kao most preko oceana
Čudo hrvatske glagoljice
Vilim (William) Feller
Šare's algebraic systems
Glagoljičko pismo i hrvatsko ime
Alojzije Stepinac - glagoljica
Mahatma Gandhi and Kristian Kreković Connecting India and Croatia
Nikola Tesla i njegov asistent Charles F. Scott
Tesline dvije autobiografije
Glagoljicom pisana bilježnica iz Državnog Arhiva u Beču o obrani Sigeta od Turaka 1566. i pogibiji Nikole Zrinskog
Vladimir Paleček - The Founder of the "Hungry Child" International FUnd
Maximally singular weak solutions of Poisson equations
Društvo prijatelja glagoljice i njihov časopis Bašćina (razgovor s dr. sc. Tomislavom Galovićem, dr. sc. Darkom Žubrinićem i Mirnom Lipovac)
Zaslov; Dva velikana nenasilnosti i mirotvorstva: Mahatma Gandhi i Stjepan Radić
Pokušaj nastavka "Glagoljskih natpisa" akademika Branka Fučića
Črnkov zapis iz Državnog Arhiva u Beču o obrani Sigeta od Turaka i pogibiji Nikole Zrinskog 1566. g.
Hrvatska glagoljica na aukcijama
Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces
Sigetska bitka 1566. g. opisana glagoljicom
Parčićev glagoljički pečat
Essential singularities of fractal zeta functions
Dvanaesti primjerak prvotiska iz 1483. godine
Kajkavski Očenaši
Matematičari koji su diplomirali na tehničkim fakultetim
Mahatma Gandhi and Kristian Krekovic connecting India and Croatia
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces
Glagoljički prijepis latiničkog zapisa Franje Črnka o bitki kod Sigeta 1566. i o Nikoli Zrinskom
Complex dimensions generated by essential singularities
Towards bifurcations of complex dimensions
O Eulerovom broju e i odgovarajućoj eksponencijalnoj i logaritamskoj funkciji
Iskustva s matematičkom tipografijom na Zavodu za primijenjenu matematiku Fakulteta elektrotehnike i računarstva Sveučilišta u Zagrebu
Obilježavanje stote obljetnice Zavoda za primijenjenu matematiku FER-a osnovanog 1919. g.
Iracionalnost Eulerova broja e
An overview of the theory of complex dimensions and fractal zeta functions
Glagoljičke obljetnice
U Zagrebu identificiran novi batomaljski list Statuta bratovštine Majke Božje Goričke iz 1425. godine
Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality
Fractal properties of a class of polynomial planar systems having degenerate foci
Teaching of Croatian Language, Mathematics and Physics in the time of Education of Nikola Tesla in Croatia
Hrvatska glagoljaška baština u kontekstu europske kulture
Introduction to fractal analysis of orbits of dynamical systems
Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
Zeta functions and complex dimensions of relative fractal drums: theory, examples and applications
Tenth jubilee collection of the Passion heritage NGO dedicated to Istria and Kvarner
Tenth jubilee collection of the Passion heritage NGO dedicated to Istria and Kvarner
Education of Nikola Tesla in Croatia and his professor Martin Sekulić
Distance and tube zeta functions of fractals and arbitrary compact sets
Dragutin Antun Parčić - a famous Croatian Glagolitic priest and lexicographer
Fractal Zeta Functions and Fractal Drums: Higher- Dimensional Theory of Complex Dimensions
Antun Lučić Anthony F. Lucas father of world's petroleum industry
Relative fractal drums, complex dimensions and geometric oscillations
Fractal tube formulas for relative fractal drums in arbitrary Euclidean spaces via Lapidus zeta functions
Gauge Minkowski content and complex dimensions of relative fractal drums
Uloga hrvatske glagoljičke baštine za sudbinu Istre nakon Drugog svjetkog rata
From singular dimensions and fractal analysis of vector fields to Lapidus zeta functions
A Minkowski measurability criterion for relative fractal drums via complex dimensions
Wavy spirals and their fractal connection with chirps
Fractal zeta functions and complex dimensions: A general higher-dimensional theory
Fractal analysis of unbounded sets in Euclidean spaces and Lapidus zeta functions
Kosinjska dolina i kosinjska glagoljička tiskara
Lapidus zeta functions of fractal sets and their residues
Fractal analysis of unbounded sets in Euclidean spaces: complex dimensions and Lapidus zeta functions
Školovanje Nikole Tesle u Hrvatskoj
Fractal Zeta Functions and Fractal Drums [<a href="http://www.math.caltech.edu/~mathphysics/Slides/lapidus.pdf" target="_blank">PDF</a>]
Tube formulas for relative fractal drums in Euclidean spaces via Lapidus zeta functions
Matematika 2
Fractal zeta functions and complex dimensions of relative fractal drums
Matematika 1
Kako se čuje dimenzija $\sqrt{3}$?
Fractal oscillations near the domain boundary of radially symmetric solutions of p-Laplace equations
Quasilinear elliptic equations with positive exponent on the gradient
Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension
Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension
Josip Pecaric Croatian mathematician wrote a preface to a monograph by Wan-Lan Wang published in China 2011 [<a href="http://www.croatia.org/crown/articles/10376/1/Josip-Pecaric-Croatian-mathematician-wrote-a-preface-to-a-monograph-by-Wan-Lan-Wang-published-in-China-2011.html" target="_blank">Source</a>]
Oscillations of a class of forced second-order differential equations with possible discontinuous coefficients
Fractal properties of oscillatory solutions of a class of ordinary differential equations
Posao je odabrao mene
Fractal properties of trajectories of dynamical systems
Lapidus zeta functions of arbitrary fractals and compact sets in Euclidean spaces
Pedagoški zavjet istaknutog hrvatsko-američkog znanstvenika Vilima Fellera
Prilozi Stanka Hondla u Hrvatskoj enciklopediji
Relative zeta functions of fractal sets in Euclidean spaces
Zeta functions associated with arbitrary compact sets in $R^{; ; N}; ; $: Towards a general theory of complex fractal dimensions (reporter: Professor Michel L. Lapidus)
Antun Lučić - Anthony F. Lucas, otac svjetske naftne industrije [<a href="http://www.croatianhistory.net/etf/antun_lucic.pdf" target="_blank">PDF</a>]
Josip Andrić, istaknuti hrvatski muzikolog, skladatelj i pisac iz Bačke i autor prve povijesti slovačke glazbe (<a href="http://www.croatianhistory.net/etf/josip_andric.html" target=_blank>Josip Andrić</a>)
Hrvatska glagoljska bašćina u današnjoj Lici s naglaskom na Gacku
Znameniti ruski matematičar A. N. Kolmogorov bio je gost u Zagrebu 1965.
Prilozi Stanka Hondla u Hrvatskoj enciklopediji
Sena Jurinac 1021-2011 legendary Croatian artist who shaped the entire opera world
Fractal analysis of Hopf bifurcation at infinity
Fractal properties of Bessel equation
Putokazi Branka Fučića
Middle European Mathematical Olympiade organized in Varazdin, Croatia 2011
Fractal properties of solutions of differential equations
Professor Mladen Bestvina associate editor of the Annals of Mathematics [<a href="http://www.croatia.org/crown/articles/10044/1/Professor-Mladen-Bestvina-associate-editor-of-the-Annals-of-Mathematics.html" target="_blank">source</a>]
Vladimir Varićak (1865.-1942.)
Vilim Feller, istaknuti hrvatsko-američki matematičar / William Feller, Distinguished Croatian-American mathematician (bilingual Croatian - English edition)
Lapidus zeta functions of fractal sets
Box dimenzija skupova
Dr. Slobodan Lang: "Storm" was humanitarian operation that prevented genocide
Mate Ujevic 1901-1967 the founder and editor in chief of Croatian Encyclopaedia [<a href="http://www.croatia.org/crown/articles/10081/1/Mate-Ujevic-1901-1967-the-founder-and-editor-in-chief-of-Croatian-Encyclopaedia.html">source</a>]
Kristian Kreković, distinguished Croatian painter [<a href="http://www.croatianhistory.net/etf/krek.html">web</a>]
Professors Z. Drmac and K. Veselic received prestigeous SIAM math prize [<a href="http://www.croatia.org/crown/articles/9894/1/" target="_blank">source</a>]
Rješivost nekih nelinearnih eliptičkih problema s jakom ovisnošću o gradijentu
Iskustvo Hrvatsko-francuske povijesne radionice Filozofskog fakulteta i njezina budućnost: Experience de l'Atelier d'histoire croato-francais de la Faculte des Lettres et son avenir
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger Cauchy problems
of the Katyn Forest tragedy [<a href="http://www.croatia.org/crown/articles/9957/1/" target="_blank">source</a>]
Professor Henrik Heger founder of Croatian studies at Sorbonne in Paris in 1981 [<a href="http://www.croatia.org/crown/articles/9949/1/" target="blank">source</a>]
Singular dimension of solution set of a class of p-Laplace equations
Loss of regularity of weak solutions of p-Laplace equations for p \neq 2
Mervan Pasic Croatian mathematician invited by Japanese colleagues [<a href="http://www.croatia.org/crown/articles/9952/1/" target="_blank">source</a>]
Nenad Ban's scientific work is regarded as a milestone in biochemical research [<a href="http://www.croatia.org/crown/articles/10040/1/Nenad-Bans-scientific-work-is-regarded-as-a-milestone-in-biochemical-research.html">source</a>]
Differential Equations and Applications a new Math journal in Croatia [<a href="http://www.croatia.org/crown/articles/9857/1/" target="_blank">source</a>]
Proslava 90. obljetnice Zavoda za primijenjenu matematiku FER-a u Zagrebu
Hausdorff dimension of singular sets of Sobolev functions and applications
Zvonimir Janko and Yakov Berkovich authors of important math monograph [<a href="http://www.croatia.org/crown/articles/9867/1/" target="_blank">source</a>]
Oscillatory and phase dimensions of solutions of some second-order differential equations
Box dimension and Minkowski content of the clothoid
Jaksa Cvitanic a leading expert in Mathematical Finance [<a href="http://www.croatia.org/crown/articles/9907/1/" target="_blank">source</a>]
Generating singularities of weak solutions of p-Laplace equations on fractal sets
On some new properties of solutions of nonlinear PDE-s
Maximally singular Sobolev functions
Maximally singular Sobolev functions
The existence of positive solutions of polyharmonic equations with strong dependence on the gradient
Poincare map in fractal analysis of spiral trajectories of planar vector fields
Box dimension and Minkowski content of generalized Euler spirals
Generalized Fresnel integrals and fractal properties of related spirals
Stokesova formula
Positive solutions of polyharmonic equations with strong dependence on the gradient
Gaussova formula
Gaussova krivulja
Box dimension of trajectories of some discrete dynamical systems
Positive solutions of polyharmonic equations with strong dependence on the gradient
Zvonimir Janko, outstanding Croatian mathematician [<a href="http://www.croatianhistory.net/etf/janko/" target="_blank">source</a>]
Singular dimension of spaces of real functions
Laplaceova jednadžba
Greenova furmula
Induktivna metoda
Gradijent
Recent results on fractal analysis of trajectories of some dynamical systems
Jacobijeva matrica
Poissonova razdioba
Galerkinova metoda
Izometrija
Newton-Raphsonova metoda
Razdioba, normala
Box dimension of spiral trajectories of some vector fields in R^3
William Feller (Zagreb 1906 - New York 1970) - on the occasion of hundred years since the birth of outstanding Croatian - American mathematician
Fraktalna analiza dinamičkih sustava
Fractal dimensions in dynamics
Fractal analysis of spiral trajectories of some vector fields in ${; ; ; \mathbb R}; ; ; ^3$
Maximally singular functions in Besov spaces
William Feller (1906-1970) [<a href="http://www.croatianhistory.net/etf/feller.html" target="_blank">source</a>]
Analysis of Minkowski contents of fractal sets and applications
Rudolf Strohal i njegova "Hrvatska glagolska knjiga" (1915.)
Uvod u diskretnu matematiku
Il patrimonio glagolitico croato
Fractal analysis of spiral trajectories of some planar vector fields
On extended singular set of potentials
Hausdorff dimension of singular sets of Sobolev functions and applications
Maximally singular Sobolev functions
Minkowski content and singular integrals
Singular sets of Lebesuge integrable functions
Box dimensions and Minkowski contents of spiral trajectories
Dopisivanje Ruđera Boškovića i Leonharda Eulera
Jewels of the history of Croatian culture and science on Internet
Multidimensional generalization of Levin-Cochran-Lee inequalities
Minkowski content and singular integrals
Generating singularities of solutions of quasilinear elliptic equations using Wolff's potential
William Feller - outstanding Croatian-American mathematician
O jednoj kurzivnoj glagoljskoj bilježnici u Pragu
Singular sets of Sobolev functions
Linearna algebra
O jednoj kurzivnoj glagoljskoj bilježnici u Pragu
Danilo Blanuša i njegov problem mladoženje
Eulerovo zbrajanje
Some qualitative properties of solutions of quasilinear elliptic systems
Matrične transformacije ravnine
Nesumjerljivost dužina
A class of nonlinear elliptic variational inequalities : qualitative properties and existence of solutions
Singular sets of Sobolev functions
Hrvatska matematička dijaspora
Nonexistence of solutions for quasilinear elliptic equations with $p$-growth in the gradient
Diskretna matematika
Harmonijski brojevi
Glagoljski brojevi
Some qualitative properties of solutions of quasilinear elliptic equations and applications
Recent advances in quasilinear elliptic equations
A singular ODE related to quasilinear elliptic equations
Quasilinear elliptic systems with the natural growth in the gradinet
TeX i METAFONT
Solvability of quasilinear elliptic equations with strong dependence on the gradient
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient
Quasilinear elliptic equations and systems with strong dependence on the gradient
Generating singularities of quasilinear elliptic equations
Kako su računali naši stari
A note on Cacciopoli's inequality
Control of essential infimum and supremum of solutions of quasilinear elliptic equations
Strategijska igra J.H. Conwaya
Božanski ili zlatni omjer
Mathematics for primary and secondary schools on Internet
On Levin's generalization of Carleman's inequalities
Fundamentals of Applied Functional Analysis
Hrvatska glagoljica
Croatian fonts
Croatia - Overview of History, Culture and Science
Faculty of electrical engineering : with a short survey of the history of Croatia
Uvod u varijacione metode za diferencijalne jednadžbe
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces. Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 1, 105–117.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal tube formulas for compact sets and relative fractal drums: oscillations, complex dimensions and fractality. J. Fractal Geom. 5 (2018), no. 1, 1–119.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Zeta functions and complex dimensions of relative fractal drums: theory, examples and applications. Dissertationes Math. 526 (2017), 105 pp.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Complex dimensions of fractals and meromorphic extensions of fractal zeta functions. J. Math. Anal. Appl. 453 (2017), no. 1, 458–484.
Lapidus, M. L.; Radunović, G.; Žubrinić, D. Distance and tube zeta functions of fractals and arbitrary compact sets. Adv. Math. 307 (2017), 1215–1267.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal zeta functions and fractal drums. Higher-dimensional theory of complex dimensions. Springer Monographs in Mathematics. Springer, Cham, 2017. xl+655 pp.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal zeta functions and complex dimensions: a general higher-dimensional theory. Fractal geometry and stochastics V, 229–257, Progr. Probab., 70, Birkhäuser/Springer, Cham, 2015.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal zeta functions and complex dimensions of relative fractal drums. J. Fixed Point Theory Appl. 15 (2014), no. 2, 321–378.
Životopis
Rođen 1956. u Zagrebu. Diplomirao 1978. na Matematičkom odsjeku PMF-a Sveučilišta u Zagrebu. Na istoj instituciji doktorirao 1984. Od 1981. zaposlen je na FER-u. Znanstveni interesi su mu u području nelinearne analize za eliptičke rubne probleme, fraktalnih svojstava dinamičkih sustava, te u području fraktalnih zeta funkcija. Koautor je dviju monografija na engleskom jeziku i 60tak znanstvenih radova, kao i nekoliko studentskih priručnika, sve u području Matematike. Bavio se popularizacijom matematike i bio koncem 1980tih zamjenik voditelja ekipe mladih matematičara u bivšoj državi na Međunarodnim matematičkim olimpijadama (IMO). Godine 2010. objavio je (na hrvatskom i engleskom jeziku) monografiju o Vilimu Felleru, najvećem hrvatskom matematičaru u povijesti.
Jedan je od osnivača (1993.) i sadašnji predsjednik Društva prijatelja glagoljice u Zagrebu. Auktor je knjige Hrvatska glagoljica objavljene 1994. g. (drugo izdanje 1996., 400 str.). Utemeljio portal Croatia - Its History, Culture and Science, www.croatianhistory.net 1995. g., koji je evidentiran u NSK u Zagrebu. Pomoćnik je glavnog urednika g. Nenada Bacha (NY) na portalu CROWN www.croatia.org, također evidentiranog u NSK.
Održao je tri javna predavanja o Antunu Lučiću (Anthony F. Lucas, rođen 1855. u gradu Splitu), koji je u SAD-u proglašen otcem naftne industrije.
Od 2015. bavi se istraživanjem školovanja Nikole Tesle u Hrvatskoj.
Kompetencije
-
Mathematics
Boundary value problems Partial differential equations Difference equations Nonlinear equations Bifurcation Euclidean distance Hilbert space Functional analysis Fractals Limit-cycles Nonlinear dynamical systems Spirals -
Mathematics
Boundary value problems Partial differential equations Difference equations Nonlinear equations Bifurcation Euclidean distance Hilbert space Functional analysis Fractals Limit-cycles Nonlinear dynamical systems Spirals
Profesionalni interesi i članstva
fraktalna analiza vektorskih polja
fraktalne zeta funkcije
eliptički rubni problemi
Osobni podaci
Hobiji i osobni interesi
Hrvatska povijest, kultura i znanost
http://www.croatianhistory.net
http://www.croatia.org
Pristupačnost