PUBLICATIONS - Michael J. Evans
- Lp derivatives and approximate Peano
derivatives, Trans. Amer. Math.
Soc. 165 (1972), 381--388.
- On continuous functions and the approximate
symmetric derivative, Colloq.
Math. 31 (1974), 129--136.
- Monotonicity and the Lp symmetric derivative, Tamkang Journal Math. 7 (1976), 1--5.
- A directional cluster set example, Enseignment Math. 22 (1976), 219--225. (with C.
L. Belna and P. D. Humke).
- On qualitive cluster sets, Colloq. Math. 37 (1977), 255--261. (with P. D.
Humke).
- A symmetric condition for monotonicity, Bull. Inst. Math. Academia Sinica 6 (1978),
85--91.
- Directional cluster sets and essential
directional cluster sets of real valued functions defined in the upper
half plane, Rev. Roum. Pures et
Appl. 24 (1979), 1165--1173. (with P. D. Humke).
- Most directional cluster sets have common
values, Fund. Math. 101 (1978),
1--10. (with C. L. Belna and P. D. Humke).
- Symmetric and ordinary differentiation, Proc. Amer. Math. Soc. 72 (1978), 261--267.
(with C. L. Belna and P. D. Humke).
- Symmetric monotonicity, Acta Math. Acad. Sci. Hungar. 34 (1979), 17--22.
(with C. L. Belna and P. D. Humke).
- Symmetric and strong differentiation, Amer. Math. Monthly 86 (1979), 121--123. (with
C. L. Belna and P. D. Humke).
- Planar continua with restricted limit directions, Pacific J. Math. 90 (1980), 259--260. (with C.
L. Belna and P. D. Humke).
- On the equality of unilateral derivates, Proc. Amer. Math. Soc. 79 (1980), 609--613.
(with P. D. Humke).
- On the approximate derivates of continuous
functions, Bull. Inst. Math.
Acad. Sinica 8 (1980), 609--614. (with P. D. Humke).
- Peano derivatives: A survey, Real Anal. Exch. 7 (1981), 5--23 . (with C. E.
Weil).
- Parametric differentiation, Colloq. Math. 45 (1981), 125--131. (with P. D.
Humke).
- On iterated Lp derivatives, Bull. Inst. Math. Acad. Sinica 10 (1982),
89--94. (with C. E. Weil).
- Analogues of the Denjoy--Young--Saks Theorem, Trans. Amer. Math. Soc. 271 (1982), 253--260.
(with C. L. Belna, G. T. Cargo, and P. D. Humke).
- Qualitative differentiation, Trans. Amer. Math. Soc. 280 (1983), 303--320.
(with L. Larson).
- Qualitative maxima of a function, Rev. Roum. Math. Pures et Appl. 30 (1985),
745--748.
- The continuity of symmetric and smooth
functions, Acta Math. Hungar. 43
(1984), 251--257. (with L. Larson).
- Qualitative derivates and derivatives, Rev. Roum. Math. Pures et Appl. 33 (1988),
575--581.
- Monotonicity, symmetry, and smoothness, Classical Real Analysis, Contemporary
Mathematics Series, Amer. Math. Soc. 42 (1985), 49--54. (with L. Larson).
- A pathological approximately smooth function, Acta Math. Hungar. 46 (1985), 211--215. (with P.
D. Humke).
- Qualitative directional cluster sets, Bull. Polish Acad. Sci. Math. 34 (1986), 11--14.
(with P. D. Humke).
- Lp smoothness and approximate continuity, Proc. Amer. Math. Soc. 92 (1984), 258--262.
(with P. D. Humke).
- Peano differentiation and high order
smoothness in L_p, Bull. Inst.
Math. Acad. Sinica 13 (1985), 197--209.
- Approximate Peano derivatives and the Baire*
one property, Real Anal. Exch.
11(1985), 283--289.
- A typical property of Baire one Darboux
functions, Proc. Amer. Math.
Soc. 98 (1986), 441--447. (with P. D. Humke).
- Approximate continuity and L--points of
integrable functions, Real Anal.
Exch. 11 (1986) 390--410. (with P. D. Humke).
- L--points of typical functions in the Zahorski
classes, Real Anal. Exch. 12
(1986), 337--348. (with P. D. Humke).
- Approximate smoothness of continuous
functions, Colloq. Math. 54
(1987), 307--313.
- High order smoothness, Acta Math. Hungar. 50 (1987), 17--20.
- Approximate symmetric behavior of real
functions, Real Anal. Exch. 14
(1989), 375--392. (with P. D. Humke).
- Characterizations of turbulent one dimensional
mappings via omega--limit sets,
Trans. Amer. Math. Soc. 326 (1991), 261--280.. (with P. D. Humke, Ch.-M.
Lee, and R. J. O'Malley).
- Corrigendum to Characterizations of turbulent
one dimensional mappings via omega--limit sets, Trans. Amer. Math. Soc. 333 (1992), 939-940.
(with P. D. Humke, Ch.-M. Lee, and R. J. O'Malley)
- Approximate high order smoothness, Acta Math. Hungar. 61 (1993), 369--388. (with Z.
Buczolich and P. D. Humke).
- A symmetric porosity conjecture of Zajicek, Real Anal. Exch. 17 (1991--92), 258--271. (with
P. D. Humke and K. Saxe).
- Mean value theorems for symmetrically
differentiable functions, Real
Anal. Exch. 17 (1991--92), 657--667. (with S. Fu).
- Some theorems whose sigma--porous exceptional
sets are not sigma--symmetrically porous, Real Anal. Exch. 17 (1991--92), 809--814.
- A note on symmetric and ordinary
differentiation, Real Anal.
Exch. 17 (1991--92), 820--826.
- Symmetric porosity of symmetric Cantor sets, Czech. Math. J. 44 (1994), 251--264 . (with P.
D. Humke and K. Saxe).
- A characterization of sigma--symmetrically
porous symmetric Cantor sets,
Proc. Amer. Math. Soc. 122 (1994), 805--810. (with P. D. Humke and K.
Saxe).
- Qualitative symmetric differentiation, Real Anal. Exch. 18 (1992-93), 575--584. (with
R. W. Vallin)
- First return path systems: Differentiability,
continuity, and orderings, Acta Math.
Hungar. 66 (1995), 83--103. (with U. B. Darji and R. J. O'Malley)
- Universally first return continuous functions, Proc. Amer. Math. Soc. 123 (1995), 2677--2685.
(with U. B. Darji and R. J. O'Malley)
- Some interesting small subclasses of the Baire
1 functions, Real Anal. Exch. 19
(1993-94), 328--331. (with U. B. Darji and R. J. O'Malley)
- Recovering Baire 1 functions, Mathematika 42 (1995) 43--48. (with U. B.
Darji)
- A first return characterization of Baire 1
functions, Real Anal. Exch. 19
(1993-94), 510--515. (with U. B. Darji and R. J. O'Malley)
- Condition B and Baire 1 generalized
derivatives, Proc. Amer. Math.
Soc. 123 (1995), 1727--1736. (with U. B. Darji and R. J. O'Malley)
- Path differentiation: further unification, Fund. Math. 146 (1995), 267--282. (with U. B.
Darji)
- First return approachability, J. Math. Anal. Appl. 199 (1996), 545--557.
(with U. B. Darji and P. D. Humke)
- Fine tuning the recoverability of Baire one
functions, Real Anal. Exch. 21
(1995-96), 165-174. (with R. J. O'Malley)
- Fine properties of Baire one functions, Fund. Math. 155 (1998), 177--188. (with U. B.
Darji, C. Freiling, and R. J. O'Malley)
- Contrasting symmetric porosity and porosity, J. Applied Analysis, 4 (1998), 19-41. (with P.
D. Humke)
- Universally polygonally approximable functions, J. Applied Analysis 6 (2000), 25 -- 45. (with
P. D. Humke and R. J. O'Malley)
- A perplexing collection of Baire one functions, Real Analysis Exchange 25 (2000), 727-742.
(with P. D. Humke and R. J. O'Malley)
- Exceptional Sets for Universally Polygonally
Approximable Functions, J.
Applied Analysis 7 (2001), 175-190. (with P. D. Humke)
- The quasicontinuity of delta fine functions, Real Analysis Exchange 28 (2003), 543-548.
(with P. D. Humke)
- A first-return examination of the Lebesgue
integral, Real Analysis Exchange
27 (2002), 573-582. (with U. B. Darji)
- Almost everywhere first-return recovery,
Bull. Pol Acad. Sci. Math.
52 (2004),
185-195. (with P. D.
Humke)
- Consistent first-return Riemann sums for
Lebesgue integrals, Acta
Mathematica Hungarica 103 (2004), 303-312. (with P. D. Humke)
- First-return limiting notions in real analysis, Real Analysis Exchange 29 (2003-04), 503-529. (with R. J. O'Malley)
- Consistent recovery and polygonal
approximations of functions,
Real Analysis Exchange 28 (2003), 641-648. (with P. D. Humke and R. J.
O'Malley)
- More or Less First-Return Recoverable
Functions, Acta Mathematica
Universitatis Comeniannae
LXXII (2003), 261-278.
(with P. D. Humke).
- First-return integrals, J. Math. Anal. Appl. 305 (2005), 546--559 (with
M. Csornyei, U. B. Darji, and P. D. Humke).
- Does almost every sequence integrate? (submitted) (with P. D. Humke).
- Two-dimensional analogs of first-return
continuity, (submitted) (with
P.D. Humke)