:root{--ink:#272b30;--muted:#616870;--accent:#365a76;--rule:#e4e7e9;--paper:#fff;--font:-apple-system,BlinkMacSystemFont,"Segoe UI",Helvetica,Arial,sans-serif}
*{box-sizing:border-box}html{scroll-behavior:smooth;scroll-padding-top:24px}body{margin:0;background:var(--paper);color:var(--ink);font-family:var(--font);font-size:16px;line-height:1.65;-webkit-font-smoothing:antialiased}a{color:var(--accent);text-decoration:none;text-underline-offset:4px}a:hover{text-decoration:underline}a:focus-visible,button:focus-visible,summary:focus-visible{outline:2px solid var(--accent);outline-offset:5px;border-radius:1px}button{font:inherit}#quarto-content{display:block!important}#quarto-document-content{margin:0!important;padding:0!important;max-width:none!important;width:auto!important}#title-block-header,.quarto-title-block{display:none}.masthead,body>.site-footer,.site-footer,#main-content{width:min(900px,calc(100% - 64px));margin-left:auto;margin-right:auto}.masthead{display:flex;justify-content:space-between;align-items:center;padding-top:32px;padding-bottom:20px;border-bottom:1px solid var(--rule);font-size:14px}.site-name{font-weight:600;color:var(--ink);letter-spacing:-.2px}.masthead nav{display:flex;gap:25px}.masthead nav a{color:var(--muted)}.intro{display:grid;grid-template-columns:minmax(0,1fr) 160px;gap:56px;padding:54px 0 46px;align-items:start}.eyebrow{color:var(--muted);text-transform:uppercase;font-size:11px;letter-spacing:1.5px;font-weight:600;margin:0 0 13px}.intro h1{font-size:38px;letter-spacing:-1.4px;line-height:1.15;font-weight:550;margin:0 0 9px}.position{margin:0 0 23px;color:var(--muted);font-size:16px}.bio{margin:0 0 12px;max-width:630px}.bio-secondary{font-size:14px;color:var(--muted);margin:0;max-width:600px;line-height:1.7}.portrait{width:160px;height:200px;object-fit:cover;border-radius:2px;margin-top:9px}.profile-links{display:flex;gap:12px;flex-wrap:wrap;align-items:center;font-size:13px;line-height:1.7;margin:22px 0 0}.profile-links span{color:#a5abb1}.research-section{border-top:1px solid var(--rule);padding:27px 0 12px}.research-section h2{font-size:20px;font-weight:550;letter-spacing:-.3px;line-height:1.3;margin:0 0 28px;color:var(--ink)}.paper-entry{padding:0 0 30px}.paper-entry h3{font-size:17px;line-height:1.45;font-weight:550;margin:0 0 5px;letter-spacing:-.12px}.paper-entry h3 a{color:var(--accent)}.coauthors{font-size:14px;color:var(--muted);margin:0 0 3px;line-height:1.65}.coauthors a{color:inherit}.publication{font-size:14px;margin:0 0 6px;font-style:italic;color:#535c65}.paper-tools{display:flex;flex-wrap:wrap;align-items:baseline;gap:0 9px;font-size:13px;line-height:1.9}.separator{color:#a5abb1;user-select:none}.abstract-toggle{border:0;background:none;padding:0;cursor:pointer;color:var(--accent);font-size:13px}.abstract-toggle:hover{text-decoration:underline;text-underline-offset:4px}.toggle-sign{font-size:12px}.abstract-panel{font-size:14px;line-height:1.8;color:#424b54;max-width:760px;margin:16px 0 2px;border-left:2px solid #d7e1e9;padding:0 0 0 18px}.abstract-panel p{margin:0}.site-footer{border-top:1px solid var(--rule);margin-top:22px;padding:24px 0 32px;display:flex;justify-content:space-between;gap:16px;color:var(--muted);font-size:11px}.paper-detail{padding:32px 0 36px}.back-link{font-size:13px;margin:0 0 46px}.paper-detail h1,.reader h1{font-size:34px;font-weight:550;line-height:1.25;letter-spacing:-.8px;margin:0 0 20px;max-width:800px}.detail-authors{font-size:15px;line-height:1.8;margin:0 0 12px;color:var(--muted)}.detail-authors a{color:inherit}.detail-citation{font-size:15px;font-style:italic;margin:0 0 17px;color:#535c65}.paper-detail>.paper-tools{font-size:14px;padding:0 0 25px;border-bottom:1px solid var(--rule)}.abstract-full{max-width:760px;padding-top:26px}.abstract-full h2,.version-note h2{font-size:18px;font-weight:550;margin:0 0 13px}.abstract-full p{font-size:16px;line-height:1.85;margin:0}.version-note{margin-top:30px;padding-top:24px;border-top:1px solid var(--rule);max-width:760px}.version-note p{font-size:14px;color:var(--muted);line-height:1.8;margin:0}.archive{max-width:760px;margin:24px 0;font-size:14px;color:var(--muted)}.archive summary{cursor:pointer;color:var(--accent)}.archive li{margin:8px 0}.reader{padding:32px 0;max-width:760px}.reader .back-link{margin-bottom:35px}.reader .edition-note{border-left:2px solid #c3d1dd;padding:3px 0 3px 18px;font-size:14px;color:var(--muted);line-height:1.8;margin:28px 0}.reader-jumps{display:flex;flex-wrap:wrap;gap:12px 22px;font-size:13px;border-top:1px solid var(--rule);border-bottom:1px solid var(--rule);padding:14px 0;margin:28px 0 42px}.reader>section>h1,.reader h1:not(:first-of-type),.reader h2{font-size:24px;line-height:1.35;margin:38px 0 15px;letter-spacing:-.35px;font-weight:550}.reader h3{font-size:18px;line-height:1.5;font-weight:600;margin:30px 0 12px}.reader p{line-height:1.9}.reader table{font-size:13px;border-collapse:collapse;display:block;overflow-x:auto;max-width:100%;margin:24px 0}.reader th,.reader td{padding:7px 10px;border-bottom:1px solid var(--rule);text-align:left}.reader .math.display{display:block;overflow-x:auto;max-width:100%;padding:8px 0}.reader mjx-container[display="true"]{overflow-x:auto;overflow-y:hidden;max-width:100%;padding:4px 0}.reader pre{white-space:pre-wrap;overflow-wrap:anywhere}.reader a{overflow-wrap:anywhere}.reader .footnotes{font-size:13px;line-height:1.7}.reader blockquote{border-left:2px solid var(--rule);margin-left:0;padding-left:18px;color:var(--muted)}.skip-link{position:absolute;left:20px;top:-100px;background:#fff;padding:8px 15px;z-index:9}.skip-link:focus{top:10px}
@media(min-width:1100px){.intro{padding-top:58px}.home-page .masthead{padding-top:38px}}
@media(max-width:650px){.masthead,.site-footer,#main-content{width:calc(100% - 40px)}.masthead{padding-top:20px;font-size:13px}.masthead nav{gap:17px}.intro{grid-template-columns:1fr 88px;gap:20px;padding:35px 0 32px}.portrait{width:88px;height:110px;margin-top:30px}.intro h1{font-size:29px;letter-spacing:-.9px}.eyebrow{font-size:10px;letter-spacing:1px}.position{font-size:13px;margin-bottom:18px}.bio{font-size:15px}.bio-secondary{font-size:13px}.profile-links{font-size:12px;gap:6px 10px;margin-top:18px}.research-section{padding-top:24px}.research-section h2{font-size:19px;margin-bottom:25px}.paper-entry{padding-bottom:27px}.paper-entry h3{font-size:17px}.coauthors,.publication{font-size:13px}.paper-tools{font-size:12px;gap:0 8px}.abstract-toggle{font-size:12px}.site-footer{flex-direction:column;gap:5px;font-size:11px}.paper-detail h1,.reader h1{font-size:28px}.back-link{margin-bottom:32px}.abstract-full p{font-size:15px}.reader{font-size:15px}.reader-jumps{gap:9px 18px}}
@media(max-width:420px){.intro{grid-template-columns:1fr 70px;gap:16px}.portrait{width:70px;height:88px}.intro h1{font-size:26px}.intro-copy .bio,.intro-copy .bio-secondary,.intro-copy .profile-links{width:calc(100% + 86px)}.intro-copy .bio{padding-top:14px}.position{max-width:220px;margin-bottom:15px}.masthead nav{gap:13px}.masthead{font-size:12px}}
@media(prefers-reduced-motion:reduce){html{scroll-behavior:auto}}
@media print{.masthead,.site-footer,.paper-tools,.back-link,.edition-note,.reader-jumps{display:none}#main-content{width:100%}.abstract-panel[hidden]{display:block}.paper-entry{break-inside:avoid}a{color:inherit}}
/* Reading editions share the downloadable Markdown. */
.reader img{display:block;max-width:100%;height:auto;margin:24px auto}.reader figure{margin:28px 0}.reader figcaption{font-size:13px;color:var(--muted);line-height:1.7}.reader-downloads{font-size:13px;margin-bottom:28px}.reader #TOC{border-top:1px solid var(--rule);border-bottom:1px solid var(--rule);font-size:13px;line-height:1.7;padding:18px 0;margin:28px 0}.reader #TOC ul{list-style:none;padding-left:18px}.reader #TOC>ul{padding-left:0}.reader h4{font-size:16px;margin:26px 0 10px}.reader th{font-weight:600}.reader td{vertical-align:top}.reader .footnotes p{line-height:1.65}.reader #TOC .active{font-weight:600}

.reader-contents { margin: 2rem 0; padding: 1rem 0; border-top: 1px solid var(--line, #e8e8e8); border-bottom: 1px solid var(--line, #e8e8e8); }
.reader-contents summary { cursor: pointer; font-weight: 500; }
.reader-contents #TOC { margin: 1rem 0 0; padding: 0; border: 0; }
/* Keep the table's column/row structure; wide equations scroll inside the reader. */
.reader .model-predictions { min-width: 0; font-size: 13px; line-height: 1.7; }
.reader .model-predictions th[scope="rowgroup"] { font-weight: 400; vertical-align: top; min-width: 230px; }
.reader .model-predictions td { vertical-align: middle; white-space: nowrap; }
.reader .model-predictions tr:nth-child(odd) > * { border-top: 1px solid var(--rule); }
.reader .model-predictions tr:nth-child(odd) > td { border-bottom: 0; }
.reader .model-predictions strong { font-weight: 600; }

.reader .table-scroll { overflow-x: auto; max-width: 100%; margin: 24px 0; }
.reader table { display: table; overflow: visible; margin: 0; max-width: none; }
.reader table tbody + tbody { border-top: 1px solid var(--rule); }

.contact-section{border-top:1px solid var(--rule);padding:28px 0 16px}.contact-section h2{font-size:20px;font-weight:550;letter-spacing:-.3px;margin:0 0 18px}.contact-section p{font-size:14px;margin:0 0 12px}.contact-email{display:flex;align-items:center;flex-wrap:wrap;gap:8px 16px}.copy-email{background:none;border:1px solid #d9e0e5;border-radius:3px;padding:3px 10px;font-size:12px;color:var(--accent);cursor:pointer}.copy-email:hover{background:#f5f7f9}#copy-status{font-size:12px;color:var(--muted)}.contact-affiliation{color:var(--muted)}

.publication a,.detail-citation a{color:inherit}

/* Give the portrait its own space above the biography on phones. */
@media(max-width:650px){
  .intro{grid-template-columns:minmax(0,1fr) 112px;column-gap:24px;row-gap:0}
  .intro-copy{display:contents}
  .intro .eyebrow{grid-column:1/-1;margin-bottom:18px}
  .intro .profile-heading{grid-column:1;grid-row:2;align-self:center}
  .intro .position{margin-bottom:0}
  .intro .portrait{grid-column:2;grid-row:2;width:112px;height:140px;margin:0;align-self:center}
  .intro-copy .bio,.intro-copy .bio-secondary,.intro-copy .profile-links{grid-column:1/-1;width:auto}
  .intro-copy .bio{padding-top:0;margin-top:24px}
}