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˜_•¶ƒŠƒXƒg
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Hyperplane families creating envelopes, Nonlinearlity 35 (2022), 2588.
arXiv
- iE. B. BatistaŽCŠØ@ŒÄ˜aŽ‚Æ‹¤’˜j
Simultaneous smoothness and simultaneous stability of a C^\infty strictly convex integrand and its dual,
Kodai Mathematical Journal, 43 (2020), 221-242. arXiv
- (S. JaneczkoŽ‚Æ‹¤’˜)
Anti-orthotomics of frontals and their applications,
Journal of Mathematical Analysis and Applications, 487 (2020), 124019.
arXiv
- Kato's chaos created by quadratic mappings
associated with spherical orthotomic curves, Journal of Singularities, 21 (2020), 205-211.
arXiv
- iŠØ@ŒÄ˜aŽ‚Æ‹¤’˜j
The spherical dual transform is an isometry for spherical Wulff shapes,
Studia Mathematica, 245 (2019), 201-211. arXiv
- iŠØ@ŒÄ˜aŽ‚Æ‹¤’˜j
Limit of the Hausdorff Distance for One-Parameter Families of Wulff Shapes Constructed by Affine Perturbations of Dual Wulff Shapes,
Methods and Applications of Analysis, 25 (2018), 277-290.
Repository
- iŠØ@ŒÄ˜aŽ‚Æ‹¤’˜j
Spherical method for studying Wulff shapes and related topics,
Advanced Studies in Pure Mathematics, 78, Math. Soc. Japan. Tokyo, 2018, pp. 1-53.
Repository
- iˆê–Ør•Ž‚Æ‹¤’˜jPreservation of immersed or injective properties by composing generic
generalized distance-squared mappings,
Springer Proceedings in Mathematics & Statistics, vol. 222, Springer Cham, 2018, pp. 537-547.
arXiv
- ia“c—T‰îŽ‚Æ‹¤’˜j
Lowerable vector fields for a finitely L-determined multigerm,
Hokkaido Mathematical Journal, 47 (2018), 17-23. arXiv
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Jacobian-squared function-germs,
Pure and Applied Mathematics Quarterly, 13 (2017), 711-728.
arXiv
- iŠØ@ŒÄ˜aŽ‚Æ‹¤’˜j
Self-dual Wulff shapes and spherical convex bodies of constant width ƒÎ/2,
Journal of the Mathematical Society of Japan, 69 (2017), 1475-1484.
arXiv
- iŠØ@ŒÄ˜aŽ‚Æ‹¤’˜j
Strictly convex Wulff shapes and C^1 convex integrands,
Proceedings of the American Mathematical Society, 145 (2017), 3997-4008.
arXiv
- iE. B. BatistaŽCŠØ@ŒÄ˜aŽ‚Æ‹¤’˜j
Stability of C^\infty convex integrands, Kyushu Journal of Mathematics, 71 (2017), 187-196.
arXiv
- iˆê–Ør•Ž‚Æ‹¤’˜jGeneralized distance-squared mappings of R^{n+1} into R^{2n+1},
Contemporary Mathematics, vol. 675, Amer. Math. Soc., Providence RI, 2016, pp. 121-132.
arXiv
- iR. Oset SinhaŽCM.A.S. RuasŽ, R.G. Wik AtiqueŽ‚Æ‹¤’˜j
Liftable vector fields over corank one multigerms,
Mathematische Annalen, 366 (2016), 573-611.
arXiv
- iˆê–Ør•ŽCR. Oset SinhaŽCM.A.S. RuasŽ‚Æ‹¤’˜j
Generalized distance-squared mappings of the plane into the plane,
Advances in Geometry, 16 (2016), 189-198.
arXiv
- i‰Á‰ê’Ü‘å•㎂Ƌ¤’˜j
Aperture of plane curves,
Journal of Singularities. 12 (2015), 80-91.
- iˆê–Ør•Ž‚Æ‹¤’˜j
Recognizable classification of Lorentzian distance-squared mappings,
Journal of Geometry and Physics, 81 (2014), 62-71.
arXiv
- (J.C.F. CostaŽCM.A.S. RuasŽ‚Æ‹¤’˜)
Bi-Lipschitz A-equivalence of K-equivalent map-germs,
RACSAM - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas,
108 (2014), 173-182.
arXiv
- iŽðŒ©@—JŽ‚Æ‹¤’˜j
Topological aspect of Wulff shapes, Journal of the Mathematical Society of Japan,
66 (2014). 89-109.
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- iˆê–Ør•Ž‚Æ‹¤’˜j
Distance-squared mappings, Topology and its Applications, 160 (2013), 1005-1016.
arXiv
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Wave front evolution and pedal evolution, RIMS Kokyuroku Bessatsu, B38 (2013), 15-30.
arXiv
- ia“c—T‰îŽ‚Æ‹¤’˜jMulticusps, in Real and Complex Singularities,
Contemporary Mathematics, vol. 569, Amer. Math. Soc., Providence RI, 2012, pp. 115-121.
arXiv
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Whitney umbrellas and swallowtails, Pacific Journal of Mathematics, 252 (2011), 459-471.
arXiv
Repository
- iŽðŒ©@—JŽ‚Æ‹¤’˜j
View from Inside, Hokkaido Mathematical Journal, 40 (2011), 361-373.
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Singularities of one-parameter pedal unfoldings of spherical pedal curves, Journal of Singularities, 2 (2010), 160-169.
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- Stable multigerms, simple multigerms and asymmetric Cantor sets,
Proceedings of the Centre for Mathematics and its Applications, Australian National University, 43 (2010), 75-81.
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- An estimate of the degree of L-determinacy by the degree of A-determinacy for curve germs,
London Mathematical Society Lecture Note Series, 380 (2010), 293-297.
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Singularities of pedal curves produced by singular dual curve germs in S^n,
Demonstratio Mathematica, 43 (2010), 447-459.
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- A-simple multigerms and L-simple multigerms,
Yokohama Mathematical Journal, 55 (2010), 93-104.
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Normal forms for singularities of pedal curves produced by non-singular dual curve germs in S^n,
Geometriae Dedicata, 133 (2008), 59-66.
Repository
- i–kìŒc‘¾Ž‚Æ‹¤’˜j
Classification of singularities of pedal curves in S^2,
The Natural Sciences, Journal of the Faculty of Education and Human Sciences,
Yokohama National University, 10 (2008), 39-55.
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A method to investigate TA(f), TL(f) and its applications, ”—‰ðÍŒ¤‹†Šu‹†˜^, 1610 (2008), 84-99.
- Singularities of tangent pedal curves in S^3,
The Natural Sciences, Journal of the Faculty of Education and Human Sciences,
Yokohama National University, 9 (2007), 43-50.
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Criteria for right-left equivalence of smooth map-germs,
Topology, 40 (2001), 433-462.
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Recognizing right-left equivalence locally,
in "Caustics '98", Banach Center Publications, Polish
Academy of Sciences, Warszawa, 50 (1999), 205-215.
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Topological equivalence of K-equivalent map germs,
Journal of the London Mathematical Society,
60 (1999), 308-320.
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Passing through degenerate points,
”—‰ðÍŒ¤‹†Šu‹†˜^, 1111 (1999), 18-33.
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Cr-K-versality of the graph deformation
of a Cr stable map-germ,
Mathematical Proceedings of the
Cambridge Philosophical Society, 127 (1999), 93-97.
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Isomorphisms of smooth map germs with isomorphic local algebras,
in "Real Analytic and Algebraic Singularities",
Pitman Research Notes in
Mathematics Series 381,
Longman Scientific & Technical, Harlow, 1998, 94-106.
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Study of the topological equivalence of K-equivalent map germs,
”—‰ðÍŒ¤‹†Šu‹†˜^, 1050 (1998), 71-76.
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Topological K-equivalence of smooth map germs, in
"Stratifications, Singularities and Differential Equations I",
Travaux en Cours 54, Hermann, Paris, 1997, 83-93.
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(‚‹´@VŽ‚Æ‹¤’˜) Around Frankl conjecture,
Science Reports of the Yokohama National University, Section I,
43 (1996), 15-23.
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(Î섘YŽ‚Æ‹¤’˜)
Smooth retracts of euclidean spaces,
Kodai Mathematical Journal, 18 (1995), 260-265.
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A constructive method to get right left equivalence
for smooth map germs and its application to divergent diagrams,
Matematica Contemporanea, 5 (1993), 137-160.
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(•½–ìÚ—ÏŽ‚Æ‹¤’˜)
Multiplicity results for semilinear elliptic problems at
resonance and with jumping nonlinearities,
Journal of Mathematical Analysis and Applications,
180 (1993), 566-586.
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Simple construction of parameter map germ and its applications,
”—‰ðÍŒ¤‹†Šu‹†˜^, 815 (1992), 1-22.
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Topological symmetry of holomorphic function germs with isolated singularities,
”—‰ðÍŒ¤‹†Šu‹†˜^, 815 (1992), 23-28.
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Topological types of
finitely C0-K-determined map-germs,
Transactions of the American Mathematical Society,
312 (1989), 621-639.
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(•Ÿ“c‘ñ¶ŽA–،›“ñŽ‚Æ‹¤’˜)
An algebraic formula for the topological types of
one parameter bifurcation diagrams,
Archive for Rational Mechanics and Analysis,
108 (1989), 247-265.
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Topologically oo-determined map germs are
topologically cone-like,
Compositio Mathematica., 64 (1987), 117-129.
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(–،›“ñŽA•Ÿ“c‘ñ¶Ž‚Æ‹¤’˜) On the number of branches of
the zero locus of a map germ
( Rn,0) -> ( Rn-1,0),
in "Topology and Computer Science", Proceedings of the Symposium
held in honour of Shin'ichi Kinoshita, Hiroshi Noguchi and
Tatsuo Homma on the occasion of their sixtieth birthday, ‹IˆÉ‘‰®,
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On topologically infinitely determined map germs,
ibid., 1987, 365-375.
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Topological invariance of weights for weighted homogeneous
singularities, Kodai Mathematical Journal, 9 (1986), 188-190.
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Topological types of topologically finitely determined map germs,
”—‰ðÍŒ¤‹†Šu‹†˜^, 550 (1985), 136-171.