Early-stage solo author linking log-ratio simplex geometry and Bernoulli quantization to the zeta critical strip.
2
papers here
2
reviewed by Evolve
2
first-author
2
corresponding
—
works · OpenAlex
0
h-index · OpenAlex
Bibliometric figures come from OpenAlex (2026-10-16) and cover the author's entire public record, not just the papers listed here. Reproducibility signal comes from Evolve's own reviews.
Research profile
Output—
Output volume is unscored: the snapshot gives no reliable total publication count for this name beyond the 2 reviewed 2026 preprints. This axis would measure cumulative, venue-indexed output once fuller identity indexing exists.
Impact—
Impact cannot be scored: h-index and i10-index are recorded as 0 with no meaningful citation history yet. This axis would track citations, citing works, and uptake in the zeta-function and compositional-data literature as it accumulates.
Focus0/100
Focus scores 0 because the record splits exactly evenly across two fields: analytic number theory (0.5) and information geometry / compositional data analysis (0.5, with a nominal math.NT framing). Topic data mirrors the spread — 'Analytic Number Theory Research' and 'Advanced Mathematical Theories and Applications' each tag 2 papers, with identities and probability topics on 1 each. Both threads nonetheless converge on the zeta critical strip, so the work is thematically narrower than the score implies.
Collaboration0/100
The collaboration score is 0, matching 0 distinct co-authors in the snapshot: both reviewed 2026 preprints are single-authored, with this researcher listed as first and corresponding author, and frequentCoauthors is empty. No co-author network or collaborative validation is visible. Solo authorship is not rare in mathematics, but it does mean these constructions have not yet been stress-tested through joint work.
Activity32/100
Activity scores 32 on a thin but current record: countsByYear shows 2 works, both in 2026 — the only year with output — and recent3yWorks is likewise 2. Both items are arXiv preprints rather than journal articles. The moderate score reflects a concentrated, just-starting publication trail with no earlier indexed history behind it.
Reproducibility100/100
Reproducibility is the strongest measured axis: a mean score of 100 across 2 reviewed papers, each individually rated high readiness. Both are 2026 arXiv preprints built from exactly stated mathematical objects — integer quantization maps, Bernoulli kernels, multinomial log-ratio coordinates — and Evolve's verdicts confirm formal correctness in both cases. A perfect mean over so small a base signals checkable construction-style mathematics, not broad external validation.
Research summary
Y. Kenan Yılmaz appears in this early-stage profile through public OpenAlex bibliographic data and two 2026 arXiv preprints reviewed by Evolve, on both of which the researcher is first and corresponding author, with 0 distinct co-authors recorded in the snapshot. The work splits evenly between two threads: analytic number theory — constructions around the Riemann zeta function's critical line using ordered Bernoulli kernels, periodic Bernoulli functions, integer quantization, and prime-power spectra — and information geometry / compositional data analysis, where multinomial log-ratio coordinates on the probability simplex are recast as complex maps landing in the critical strip. Evolve's reviews assess both papers as formally correct but modest in novelty, with honest disclaimers that no Riemann Hypothesis claim is made and utility not yet demonstrated. Bibliometric indicators are correspondingly thin: h-index and i10-index both 0, only 2 works in the last three years, and an activity score of 32. The strongest measured dimension is reproducibility, a mean readiness score of 100 across the 2 reviewed papers, both rated high. This profile is name-resolved from public bibliographic data; no institution, country, or ORCID is attached.
Collaboration pattern
The snapshot records 0 distinct co-authors, and frequentCoauthors is empty: both 2026 arXiv preprints are single-authored, with this researcher as first and corresponding author. No co-author network, lab affiliation, or collaborative validation is visible in the data, and no institutional or ORCID identifiers are attached. For verification or extension of these constructions, direct contact is currently the only route.
Research keywords
Highlights
Multinomial log-ratio coordinates recast as critical-strip mappings
Bernoulli-based construction of critical-line geometry
Timeline
- 2026First indexed output: the OpenAlex year counts record 2 works in 2026 and none in any earlier year, marking the start of this profile's bibliographic trail.
- 2026Posted 'Generalized DCCQ: From Binary Quotients to Multinomial Simplex Geometry and Critical-Strip Coordinates' on arXiv as first and corresponding author, recasting probability-simplex log-ratio coordinates as critical-strip coordinates; Evolve rates reproducibility readiness high.
- 2026Posted 'From Ordered Bernoulli Levels to Critical-Line Geometry' on arXiv, also as first and corresponding author — an exact construction around the zeta critical line that honestly disclaims any RH claim, with h- and i10-indices still at 0.
Papers in the Evolve catalog
About this profile
This profile is AI-structured by Evolve.Pub from public bibliographic data (OpenAlex) and Evolve's own paper reviews. It is not written or endorsed by the researcher unless the profile is claimed. Radar dimensions are computed from real bibliometrics with fixed formulas — raw figures are shown alongside; missing dimensions mean insufficient data, never zero. Errors? Claim the profile to correct or hide it.
- Bibliometric indicators (h-index 0, i10-index 0, countsByYear, recent3yWorks) come from an OpenAlex identity snapshot; no institution, country, or ORCID is attached, so the profile is name-resolved from public bibliographic data and common-name ambiguity cannot be excluded.
- Only 2 papers, both 2026 arXiv preprints reviewed by Evolve, inform the qualitative assessment; no peer-reviewed publications are visible in the data.
- Output and impact axes are unscored because citation and volume data are insufficient; no claims about scholarly influence are made.
- The reproducibility score of 100 is a mean over just 2 papers and reflects construction-style mathematics being checkable, not extensive external validation.